Pith Number

pith:LFACE5J2

pith:2012:LFACE5J2ZDY6NQF4MAWYWKRUI5

not attested not anchored not stored refs pending

Gravity and Complexity

Giovanni Acquaviva, Yves Gaspar

arxiv:1209.3939 v1 · 2012-09-18 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFACE5J2ZDY6NQF4MAWYWKRUI5}

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	2026-05-18T03:45:22.195207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

594022753ac8f1e6c0bc602d8b2a344765e42b3ee9c4b776dc19b851a9e17a66

Aliases

arxiv: 1209.3939 · arxiv_version: 1209.3939v1 · doi: 10.48550/arxiv.1209.3939 · pith_short_12: LFACE5J2ZDY6 · pith_short_16: LFACE5J2ZDY6NQF4 · pith_short_8: LFACE5J2

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/LFACE5J2ZDY6NQF4MAWYWKRUI5 \
  | 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: 594022753ac8f1e6c0bc602d8b2a344765e42b3ee9c4b776dc19b851a9e17a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3247f54501443ed3e328e2ca71add4468ce95846125d2fb1bdf2b0e66e091681",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-18T12:54:14Z",
    "title_canon_sha256": "111c807419fd13e356e4578c26f7da14be65903db4c57b74b5c83c1081fa4e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3939",
    "kind": "arxiv",
    "version": 1
  }
}