Pith Number

pith:WFBPLXHP

pith:1997:WFBPLXHPJ6BVWRDQHMITGEQ5HG

not attested not anchored not stored refs pending

Quantum geometry with intrinsic local causality

Fotini Markopoulou, Lee Smolin

arxiv:gr-qc/9712067 v1 · 1997-12-16 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFBPLXHPJ6BVWRDQHMITGEQ5HG}

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	2026-05-18T01:08:07.727763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b142f5dcef4f835b44703b1133121d39b78c75a378f9f6748eefbd205a3c2eb8

Aliases

arxiv: gr-qc/9712067 · arxiv_version: gr-qc/9712067v1 · doi: 10.48550/arxiv.gr-qc/9712067 · pith_short_12: WFBPLXHPJ6BV · pith_short_16: WFBPLXHPJ6BVWRDQ · pith_short_8: WFBPLXHP

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/WFBPLXHPJ6BVWRDQHMITGEQ5HG \
  | 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: b142f5dcef4f835b44703b1133121d39b78c75a378f9f6748eefbd205a3c2eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6701122f702eb7e176477f2de2189e8e13577c3979e60505667764e09c875e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-16T04:07:13Z",
    "title_canon_sha256": "a2c0e48e3d73f4a2b35e26a68c3782e58198db08b030ab745cec4026a14ff1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712067",
    "kind": "arxiv",
    "version": 1
  }
}