Pith Number

pith:MA7VO2VT

pith:2007:MA7VO2VTWCSYWDYCSLBHR2ASOY

not attested not anchored not stored refs pending

Sharp bounds on $2m/r$ of general spherically symmetric static objects

Hakan Andreasson

arxiv:gr-qc/0702137 v2 · 2007-02-26 · 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{MA7VO2VTWCSYWDYCSLBHR2ASOY}

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

2 papers in Pith

Buchdahl stars and bounds with cosmological constant

Testing the nature of dark compact objects: a status report

Receipt and verification

First computed	2026-05-18T04:14:27.884620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603f576ab3b0a58b0f0292c278e81276001df2ef940425c5e451f3504a1e5b18

Aliases

arxiv: gr-qc/0702137 · arxiv_version: gr-qc/0702137v2 · doi: 10.48550/arxiv.gr-qc/0702137 · pith_short_12: MA7VO2VTWCSY · pith_short_16: MA7VO2VTWCSYWDYC · pith_short_8: MA7VO2VT

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/MA7VO2VTWCSYWDYCSLBHR2ASOY \
  | 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: 603f576ab3b0a58b0f0292c278e81276001df2ef940425c5e451f3504a1e5b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a0d7dfd682de6835c65e775a3eca536f16517090f14de5282f2e82f3d7d32a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-02-26T13:48:38Z",
    "title_canon_sha256": "6e90bfa5cf67ec08c408291fd67d9595e6069aabb564e6df0feefa8f4e26575e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0702137",
    "kind": "arxiv",
    "version": 2
  }
}