Pith Number

pith:VGZTZ2VB

pith:2000:VGZTZ2VBJEQIO4TL3MN66DDXHO

not attested not anchored not stored refs pending

Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

Detlev Buchholz, Jens Mund, Stephen J. Summers

arxiv:hep-th/0011237 v2 · 2000-11-27 · 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{VGZTZ2VBJEQIO4TL3MN66DDXHO}

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	2026-07-04T14:31:27.112974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b33ceaa1492087726bdb1bef0c773b86af9b8804e5d1a22a88d612334a5f37

Aliases

arxiv: hep-th/0011237 · arxiv_version: hep-th/0011237v2 · doi: 10.48550/arxiv.hep-th/0011237 · pith_short_12: VGZTZ2VBJEQI · pith_short_16: VGZTZ2VBJEQIO4TL · pith_short_8: VGZTZ2VB

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/VGZTZ2VBJEQIO4TL3MN66DDXHO \
  | 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: a9b33ceaa1492087726bdb1bef0c773b86af9b8804e5d1a22a88d612334a5f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab88b4c78f8f3b4dfb871720600a075e60622c3f30fb2edd5a969769fadc0ba",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-11-27T14:07:33Z",
    "title_canon_sha256": "214a9430a18ffcdc193e65533699bbc3f04bc0dc216cfb151ec1ce6145decb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0011237",
    "kind": "arxiv",
    "version": 2
  }
}