Pith Number

pith:ID72AT6V

pith:2011:ID72AT6VM2H57VQVUU5DATLCQ6

not attested not anchored not stored refs pending

Where is the extremal Kerr ISCO?

Ted Jacobson

arxiv:1107.5081 v2 · 2011-07-25 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID72AT6VM2H57VQVUU5DATLCQ6}

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	2026-05-18T02:01:10.090556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ffa04fd5668fdfd615a53a304d6287b4a46b04eb45f3bfb6d0702050b56fae

Aliases

arxiv: 1107.5081 · arxiv_version: 1107.5081v2 · doi: 10.48550/arxiv.1107.5081 · pith_short_12: ID72AT6VM2H5 · pith_short_16: ID72AT6VM2H57VQV · pith_short_8: ID72AT6V

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/ID72AT6VM2H57VQVUU5DATLCQ6 \
  | 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: 40ffa04fd5668fdfd615a53a304d6287b4a46b04eb45f3bfb6d0702050b56fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2410c41d137d7749d9b65ea653a9d18018854db2c6f741be2e160475eaa4a8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-25T21:47:47Z",
    "title_canon_sha256": "41a1a53b1ce4048229ea11bafac4949ec6fb272f729ec9c678f40011dc50e65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5081",
    "kind": "arxiv",
    "version": 2
  }
}