Pith Number

pith:FWLYSO72

pith:2011:FWLYSO72Y6F7MKVRR7BVWIUGAY

not attested not anchored not stored refs pending

More about Birkhoff's Invariant and Thorne's Hoop Conjecture for Horizons

C.N. Pope, G.W. Gibbons, M. Cvetic

arxiv:1104.4504 v1 · 2011-04-22 · hep-th · 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{FWLYSO72Y6F7MKVRR7BVWIUGAY}

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	2026-05-18T02:02:15.957493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d97893bfac78bf62ab18fc35b22860624d7639b7407fbffb5c355fc8e3cc282

Aliases

arxiv: 1104.4504 · arxiv_version: 1104.4504v1 · doi: 10.48550/arxiv.1104.4504 · pith_short_12: FWLYSO72Y6F7 · pith_short_16: FWLYSO72Y6F7MKVR · pith_short_8: FWLYSO72

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/FWLYSO72Y6F7MKVRR7BVWIUGAY \
  | 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: 2d97893bfac78bf62ab18fc35b22860624d7639b7407fbffb5c355fc8e3cc282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af13ba9ffaff3120340355373206a35db38a0e29b7fcc57f3ed34ae178e51a9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-22T20:18:47Z",
    "title_canon_sha256": "b7bd5312d1da1c3fb792bca43d0443eda661197a9c7c8d0c9161b32b7791fdf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4504",
    "kind": "arxiv",
    "version": 1
  }
}