Pith Number

pith:4GJ3OXA4

pith:2003:4GJ3OXA4CX4VDZTOGX4E7MZZOU

not attested not anchored not stored refs pending

Evolution in Quantum Causal Histories

Eli Hawkins, Fotini Markopoulou, Hanno Sahlmann

arxiv:hep-th/0302111 v3 · 2003-02-14 · 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{4GJ3OXA4CX4VDZTOGX4E7MZZOU}

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

1 paper in Pith

Toller matrices and the Feynman $i\varepsilon$ in spinfoams

Receipt and verification

First computed	2026-07-04T16:41:10.025725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e193b75c1c15f951e66e35f84fb3397528c4d8c7b331e413182d60de44bd4eae

Aliases

arxiv: hep-th/0302111 · arxiv_version: hep-th/0302111v3 · doi: 10.48550/arxiv.hep-th/0302111 · pith_short_12: 4GJ3OXA4CX4V · pith_short_16: 4GJ3OXA4CX4VDZTO · pith_short_8: 4GJ3OXA4

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/4GJ3OXA4CX4VDZTOGX4E7MZZOU \
  | 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: e193b75c1c15f951e66e35f84fb3397528c4d8c7b331e413182d60de44bd4eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a5d0da6b62788e665eccae8ec03063dadc1359b5ddb8cb55290ea8e75ef97f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-02-14T23:31:16Z",
    "title_canon_sha256": "8834c2b976a5d7eb4c482e7d2de00e482ea254e834477817ee5c872c42e7f52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0302111",
    "kind": "arxiv",
    "version": 3
  }
}