Pith Number

pith:I2VAI3ZC

pith:2002:I2VAI3ZCUL4ZTX5W63JCN643PI

not attested not anchored not stored refs pending

Covariant and quasi-covariant quantum dynamics in Robertson-Walker space-times

Detlev Buchholz, Jens Mund, Stephen J. Summers

arxiv:hep-th/0207057 v1 · 2002-07-06 · hep-th · gr-qc · 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{I2VAI3ZCUL4ZTX5W63JCN643PI}

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

Relating the modular Hamiltonian to two-point functions

Receipt and verification

First computed	2026-07-05T04:20:07.718675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46aa046f22a2f999dfb6f6d226fb9b7a0aa4a8598928c20eadd99bffd3166538

Aliases

arxiv: hep-th/0207057 · arxiv_version: hep-th/0207057v1 · doi: 10.48550/arxiv.hep-th/0207057 · pith_short_12: I2VAI3ZCUL4Z · pith_short_16: I2VAI3ZCUL4ZTX5W · pith_short_8: I2VAI3ZC

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/I2VAI3ZCUL4ZTX5W63JCN643PI \
  | 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: 46aa046f22a2f999dfb6f6d226fb9b7a0aa4a8598928c20eadd99bffd3166538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3808b4686768ce7112988ab5b196ac251aa20f2a11f2d926490c36eb03e29e44",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-07-06T14:15:37Z",
    "title_canon_sha256": "a68b4fcb4e1affb94514e43d41d44dac1a296edcd39f674a766c6f6dc600864c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0207057",
    "kind": "arxiv",
    "version": 1
  }
}