Pith Number

pith:7LUKEAWW

pith:1998:7LUKEAWWYNFWHHDFF5FWCEI7YQ

not attested not anchored not stored refs pending

Spin Foam Models and the Classical Action Principle

Kirill Krasnov (Penn State), Laurent Freidel

arxiv:hep-th/9807092 v2 · 1998-07-13 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LUKEAWWYNFWHHDFF5FWCEI7YQ}

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

2 papers in Pith

Indefinite probabilities in quantum spacetime: A deepening of unpredictability

Receipt and verification

First computed	2026-07-04T15:27:31.112380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae8a202d6c34b639c652f4b61111fc418179c5384b01c674ebf20574decf1a7

Aliases

arxiv: hep-th/9807092 · arxiv_version: hep-th/9807092v2 · doi: 10.48550/arxiv.hep-th/9807092 · pith_short_12: 7LUKEAWWYNFW · pith_short_16: 7LUKEAWWYNFWHHDF · pith_short_8: 7LUKEAWW

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/7LUKEAWWYNFWHHDFF5FWCEI7YQ \
  | 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: fae8a202d6c34b639c652f4b61111fc418179c5384b01c674ebf20574decf1a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af5fbcec916ce130ca4c028d64ff3edfe13c8c2ab5cd95ddf636dcefea6365c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-07-13T21:54:01Z",
    "title_canon_sha256": "36c2be4122b3079674caed8e41a89626be30c3c32b6274cd3a92c60ae027ea62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9807092",
    "kind": "arxiv",
    "version": 2
  }
}