Pith Number

pith:TAMOPDHM

pith:2018:TAMOPDHMF3WV5ZUECHSJV4I4LJ

not attested not anchored not stored refs pending

Towards the Raychaudhuri Equation Beyond General Relativity

Bret Underwood, Daniel J Burger, Nathan Moynihan, Saurya Das, S. Shajidul Haque

arxiv:1802.09499 v3 · 2018-02-26 · 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{TAMOPDHMF3WV5ZUECHSJV4I4LJ}

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	2026-05-18T00:11:23.479596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9818e78cec2eed5ee68411e49af11c5a54fcb1532cf723eae326bbf19205d45c

Aliases

arxiv: 1802.09499 · arxiv_version: 1802.09499v3 · doi: 10.48550/arxiv.1802.09499 · pith_short_12: TAMOPDHMF3WV · pith_short_16: TAMOPDHMF3WV5ZUE · pith_short_8: TAMOPDHM

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/TAMOPDHMF3WV5ZUECHSJV4I4LJ \
  | 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: 9818e78cec2eed5ee68411e49af11c5a54fcb1532cf723eae326bbf19205d45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550fea4b40787f9c93aabfa7c11890bbb3aceeb8bb9ab0403eed9eedf4c0f2d1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-02-26T18:27:55Z",
    "title_canon_sha256": "ad19abec496ac8a1ee2ad4bfb0538ce987e335481eb2fe9608d55a64510d1148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09499",
    "kind": "arxiv",
    "version": 3
  }
}