Pith Number

pith:QELBOLPJ

pith:2008:QELBOLPJKE3IPGNVYVLGPY5AUU

not attested not anchored not stored refs pending

Husain-Kuchar model as a constrained BF theory

Mercedes Velazquez, Merced Montesinos

arxiv:0812.2825 v2 · 2008-12-15 · 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{QELBOLPJKE3IPGNVYVLGPY5AUU}

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	2026-05-18T02:15:04.780240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8116172de951368799b5c55667e3a0a516fe9292c08d321dd3de067c95511974

Aliases

arxiv: 0812.2825 · arxiv_version: 0812.2825v2 · doi: 10.48550/arxiv.0812.2825 · pith_short_12: QELBOLPJKE3I · pith_short_16: QELBOLPJKE3IPGNV · pith_short_8: QELBOLPJ

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/QELBOLPJKE3IPGNVYVLGPY5AUU \
  | 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: 8116172de951368799b5c55667e3a0a516fe9292c08d321dd3de067c95511974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccaeb206c09527e10f3145f313814b9698f66c92d12c9541d488579a1ad227ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-15T14:57:40Z",
    "title_canon_sha256": "1065138bf0e5dcf0fdea8ea7cab3b41b2efba7d92f253be07c2bc26e4cb8a872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2825",
    "kind": "arxiv",
    "version": 2
  }
}