Pith Number

pith:D2DBGMOK

pith:1999:D2DBGMOKL6PBAWD4ITHEF7Z2DZ

not attested not anchored not stored refs pending

Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space

C. Rovelli, K. Krasnov, L. Freidel, R. De Pietri

arxiv:hep-th/9907154 v2 · 1999-07-19 · 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{D2DBGMOKL6PBAWD4ITHEF7Z2DZ}

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

Collective excitations in quantum gravity condensates

Receipt and verification

First computed	2026-07-04T16:14:54.905354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e861331ca5f9e10587c44ce42ff3a1e4586833f5be0875f2c3cb7a835a0ff98

Aliases

arxiv: hep-th/9907154 · arxiv_version: hep-th/9907154v2 · doi: 10.48550/arxiv.hep-th/9907154 · pith_short_12: D2DBGMOKL6PB · pith_short_16: D2DBGMOKL6PBAWD4 · pith_short_8: D2DBGMOK

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/D2DBGMOKL6PBAWD4ITHEF7Z2DZ \
  | 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: 1e861331ca5f9e10587c44ce42ff3a1e4586833f5be0875f2c3cb7a835a0ff98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9dff3fa55233633c37a233d31303b524b9f42d67f274f7778e0d313284ca47",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-07-19T17:26:58Z",
    "title_canon_sha256": "3e8656ea0af4a0a9a6e5487770a9b63377d77499c4960cc56eea2ff8979d611c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9907154",
    "kind": "arxiv",
    "version": 2
  }
}