Pith Number

pith:6VMU5RYH

pith:2013:6VMU5RYHB4LUVCCOKUJEX5KP2P

not attested not anchored not stored refs pending

An Improved Multipole Approximation for Self-Gravity and Its Importance for Core-Collapse Supernova Simulations

Carlo Graziani, Norbert Flocke, Sean M. Couch

arxiv:1307.3135 v3 · 2013-07-11 · 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{6VMU5RYHB4LUVCCOKUJEX5KP2P}

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	2026-05-18T01:48:51.639230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5594ec7070f174a884e55124bf54fd3dbed4709a550dbf30fe3f36d4ed8398c

Aliases

arxiv: 1307.3135 · arxiv_version: 1307.3135v3 · doi: 10.48550/arxiv.1307.3135 · pith_short_12: 6VMU5RYHB4LU · pith_short_16: 6VMU5RYHB4LUVCCO · pith_short_8: 6VMU5RYH

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/6VMU5RYHB4LUVCCOKUJEX5KP2P \
  | 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: f5594ec7070f174a884e55124bf54fd3dbed4709a550dbf30fe3f36d4ed8398c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "433c12f8c1ee661b522cc3d4ddeefbe1b831fd1d6cce7eb96daf10d9a0b5bbb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2013-07-11T15:03:55Z",
    "title_canon_sha256": "38708291b154c2deb84a52fd20642e7c9d990187ed881aa1a9e85f54397cb84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3135",
    "kind": "arxiv",
    "version": 3
  }
}