Pith Number

pith:MMBTSAC3

pith:2001:MMBTSAC3NMLZEOMDN3YTUW2ULQ

not attested not anchored not stored refs pending

Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime

Robert M. Wald, Stefan Hollands

arxiv:gr-qc/0103074 v2 · 2001-03-20 · 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{MMBTSAC3NMLZEOMDN3YTUW2ULQ}

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

Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole

Receipt and verification

First computed	2026-07-04T15:26:31.773755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630339005b6b179239836ef13a5b545c27c2152a8b856b85b2f815032a3ef61f

Aliases

arxiv: gr-qc/0103074 · arxiv_version: gr-qc/0103074v2 · doi: 10.48550/arxiv.gr-qc/0103074 · pith_short_12: MMBTSAC3NMLZ · pith_short_16: MMBTSAC3NMLZEOMD · pith_short_8: MMBTSAC3

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/MMBTSAC3NMLZEOMDN3YTUW2ULQ \
  | 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: 630339005b6b179239836ef13a5b545c27c2152a8b856b85b2f815032a3ef61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbc8b9e5d019f64f4b09477857bafd4be7818e973f264e6fe2e912e0622f010",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-03-20T19:57:42Z",
    "title_canon_sha256": "19f8ba4daffd3f1acbf159a80de631741b668a0d0dcf679026217dcdd4529322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0103074",
    "kind": "arxiv",
    "version": 2
  }
}