Pith Number

pith:4V3OSCW7

pith:1999:4V3OSCW7SCLSP6CAJ7IUVTZR25

not attested not anchored not stored refs pending

Bounds on 2m/R for static spherical objects

Jemal Guven, Niall O' Murchadha

arxiv:gr-qc/9903067 v1 · 1999-03-17 · 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{4V3OSCW7SCLSP6CAJ7IUVTZR25}

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

1 paper in Pith

Testing the nature of dark compact objects: a status report

Receipt and verification

First computed	2026-07-04T16:13:50.145635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e576e90adf909727f8404fd14acf31d75bf503f3f1ab148ec33e2f4611f5b1f8

Aliases

arxiv: gr-qc/9903067 · arxiv_version: gr-qc/9903067v1 · doi: 10.48550/arxiv.gr-qc/9903067 · pith_short_12: 4V3OSCW7SCLS · pith_short_16: 4V3OSCW7SCLSP6CA · pith_short_8: 4V3OSCW7

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/4V3OSCW7SCLSP6CAJ7IUVTZR25 \
  | 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: e576e90adf909727f8404fd14acf31d75bf503f3f1ab148ec33e2f4611f5b1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e58198c12de929d3d94c4f8a40c0a4e0659f21f50d99a0fbd7c81eb5261e24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-03-17T20:39:17Z",
    "title_canon_sha256": "e7120bdda667410da2912f0b141bfedcda9f74560ce5eb81841f9db533f5db7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9903067",
    "kind": "arxiv",
    "version": 1
  }
}