Pith Number

pith:VKJLIGS2

pith:2020:VKJLIGS23CUEMNMBZRDQENFDZ4

not attested not anchored not stored refs pending

An Extension of the Athena++ Framework for Fully Conservative Self-Gravitating Hydrodynamics

C. F. Gammie, P. D. Mullen, Tomoyuki Hanawa

arxiv:2012.01340 v1 · 2020-12-02 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKJLIGS23CUEMNMBZRDQENFDZ4}

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.

Receipt and verification

First computed	2026-07-05T02:15:37.070981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa92b41a5ad8a8463581cc470234a3cf3bca567b9a1420362d85e26af53b7855

Aliases

arxiv: 2012.01340 · arxiv_version: 2012.01340v1 · doi: 10.48550/arxiv.2012.01340 · pith_short_12: VKJLIGS23CUE · pith_short_16: VKJLIGS23CUEMNMB · pith_short_8: VKJLIGS2

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/VKJLIGS23CUEMNMBZRDQENFDZ4 \
  | 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: aa92b41a5ad8a8463581cc470234a3cf3bca567b9a1420362d85e26af53b7855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5376e2d7e82b17d7101a8f867a075e0f911620e9a21faf6e5b4058f99c6793de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2020-12-02T17:21:49Z",
    "title_canon_sha256": "bc838288f19589efa50b9642915b42802fcf34055f31821076bd218782d6bd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01340",
    "kind": "arxiv",
    "version": 1
  }
}