Pith Number

pith:56IYF3XD

pith:2001:56IYF3XDDDM4GE63B6LZJTJDXQ

not attested not anchored not stored refs pending

Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime

Robert M. Wald, Stefan Hollands

arxiv:gr-qc/0111108 v2 · 2001-11-30 · 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{56IYF3XDDDM4GE63B6LZJTJDXQ}

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

Emergent gravitational action from non-local $T\bar T$-like deformations

Receipt and verification

First computed	2026-07-04T16:26:59.743276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9182eee318d9c313db0f9794cd23bc32d7921e70606406d1abe5ebac76c964

Aliases

arxiv: gr-qc/0111108 · arxiv_version: gr-qc/0111108v2 · doi: 10.48550/arxiv.gr-qc/0111108 · pith_short_12: 56IYF3XDDDM4 · pith_short_16: 56IYF3XDDDM4GE63 · pith_short_8: 56IYF3XD

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/56IYF3XDDDM4GE63B6LZJTJDXQ \
  | 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: ef9182eee318d9c313db0f9794cd23bc32d7921e70606406d1abe5ebac76c964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339d33c9601f6a482f46f15852250e2ecac62f65ede78c7af53dffe0daaeb13b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-11-30T15:42:28Z",
    "title_canon_sha256": "1872e871c578280131b234e50b93b72dc4e70960ca4a4bc511288a651bba6ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0111108",
    "kind": "arxiv",
    "version": 2
  }
}