Pith Number

pith:MQXDUCF2

pith:2026:MQXDUCF2ADIX4E7V4GGHRV3QDA

not attested not anchored not stored refs pending

Quantifying Symmetry: Transformation Information for Planetary Nebulae and Supernova Remnants

Amir Michaelis, Dmitry Shishkin

arxiv:2601.07913 v2 · 2026-01-12 · astro-ph.IM · astro-ph.GA · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQXDUCF2ADIX4E7V4GGHRV3QDA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

JWST observations of a planetary nebula support jet-driven explosion of core-collapse supernova remnant RCW 103

Ancient 'ghost' planetary nebulae discovered with amateur telescopes

The jet-shaped pipe morphology in planetary nebulae and core-collapse supernova remnants

Receipt and verification

First computed	2026-06-04T01:08:12.686325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642e3a08ba00d17e13f5e18c78d770182905c16bb96f467053cb614628804764

Aliases

arxiv: 2601.07913 · arxiv_version: 2601.07913v2 · doi: 10.48550/arxiv.2601.07913 · pith_short_12: MQXDUCF2ADIX · pith_short_16: MQXDUCF2ADIX4E7V · pith_short_8: MQXDUCF2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQXDUCF2ADIX4E7V4GGHRV3QDA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 642e3a08ba00d17e13f5e18c78d770182905c16bb96f467053cb614628804764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e479d9d9111c158229ed79afaca308993f23059b792b0bb20d1d1032780843",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-01-12T19:00:01Z",
    "title_canon_sha256": "05f1eb02faf5a872ea48d98c6e689cb561cfaa1c1259917216b07292dd08f9f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07913",
    "kind": "arxiv",
    "version": 2
  }
}