Pith Number

pith:Z3PN54GW

pith:2012:Z3PN54GWEA2YDSD42ZCBHKYEFL

not attested not anchored not stored refs pending

Parametrized post-Newtonian virial theorem

Mahmood Roshan

arxiv:1208.3184 v1 · 2012-08-15 · 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{Z3PN54GWEA2YDSD42ZCBHKYEFL}

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	2026-05-18T03:43:17.878038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3

Aliases

arxiv: 1208.3184 · arxiv_version: 1208.3184v1 · doi: 10.48550/arxiv.1208.3184 · pith_short_12: Z3PN54GWEA2Y · pith_short_16: Z3PN54GWEA2YDSD4 · pith_short_8: Z3PN54GW

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/Z3PN54GWEA2YDSD42ZCBHKYEFL \
  | 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: cededef0d6203581c87cd64413ab042affb03d1a4833d048a04709c9b47c0ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c6c13b5568251b508f0af6b35d2014465675a03ba93d2893d893c50f102c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-15T19:30:35Z",
    "title_canon_sha256": "44b5cd45d0968d08252d8873a0e5e35de56c3a70d9f00543c3f5069ef154afca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3184",
    "kind": "arxiv",
    "version": 1
  }
}