Pith Number

pith:UN4RRDUM

pith:2012:UN4RRDUMGYC3RIOKYDETRKKTMZ

not attested not anchored not stored refs pending

On the exact evaluation of spin networks

Jeff Hnybida, Laurent Freidel

arxiv:1201.3613 v1 · 2012-01-17 · gr-qc · hep-th · math-ph · math.GT · 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{UN4RRDUMGYC3RIOKYDETRKKTMZ}

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	2026-05-18T01:58:47.942112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a379188e8c3605b8a1cac0c938a953665be684a7070b391219083c44863f05d3

Aliases

arxiv: 1201.3613 · arxiv_version: 1201.3613v1 · doi: 10.48550/arxiv.1201.3613 · pith_short_12: UN4RRDUMGYC3 · pith_short_16: UN4RRDUMGYC3RIOK · pith_short_8: UN4RRDUM

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/UN4RRDUMGYC3RIOKYDETRKKTMZ \
  | 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: a379188e8c3605b8a1cac0c938a953665be684a7070b391219083c44863f05d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1a29466aa9617611681c43bf0753f06793a40f574c7102ba02ac08b4086e21",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-01-17T20:31:48Z",
    "title_canon_sha256": "9ff779f673b0c05afb63486cbc3dfd4bf278f3cc18ed24685e54cc53bf370518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3613",
    "kind": "arxiv",
    "version": 1
  }
}