Pith Number

pith:4NAYLJQI

pith:2011:4NAYLJQIAQVIXWPCERNX7RSGUJ

not attested not anchored not stored refs pending

Virial theorem for radiating accretion discs

Patryk Mach

arxiv:1111.4891 v2 · 2011-11-21 · astro-ph.SR · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NAYLJQIAQVIXWPCERNX7RSGUJ}

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	2026-05-18T03:57:38.712712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34185a608042a8bd9e2245b7fc646a246f51af38cf81cc93875d855026fb50e

Aliases

arxiv: 1111.4891 · arxiv_version: 1111.4891v2 · doi: 10.48550/arxiv.1111.4891 · pith_short_12: 4NAYLJQIAQVI · pith_short_16: 4NAYLJQIAQVIXWPC · pith_short_8: 4NAYLJQI

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/4NAYLJQIAQVIXWPCERNX7RSGUJ \
  | 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: e34185a608042a8bd9e2245b7fc646a246f51af38cf81cc93875d855026fb50e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622d1d38049b957f2309f8ef2474c3d6c0b637ac67fe66296febc71c2bb0dcdd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2011-11-21T15:15:01Z",
    "title_canon_sha256": "941236c585f11672a71dabf64f8e361ab15281f996d86c4cee1753e6b072b293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4891",
    "kind": "arxiv",
    "version": 2
  }
}