Pith Number

pith:WGZFKP6B

pith:2010:WGZFKP6BS5MZ5IKP7CEIFBGL46

not attested not anchored not stored refs pending

A simple proof of orientability in colored group field theory

Francesco Caravelli

arxiv:1012.4087 v2 · 2010-12-18 · math-ph · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGZFKP6BS5MZ5IKP7CEIFBGL46}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:51:46.000849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b2553fc197599ea14ff8888284cbe7a95a4323351b079e7e35a40e9ff3f0e7

Aliases

arxiv: 1012.4087 · arxiv_version: 1012.4087v2 · doi: 10.48550/arxiv.1012.4087 · pith_short_12: WGZFKP6BS5MZ · pith_short_16: WGZFKP6BS5MZ5IKP · pith_short_8: WGZFKP6B

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/WGZFKP6BS5MZ5IKP7CEIFBGL46 \
  | 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: b1b2553fc197599ea14ff8888284cbe7a95a4323351b079e7e35a40e9ff3f0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ffc1306eba9929c1d37c470f16b1abc3feaa7a487e1f9c58fd9fd512ecc63f",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-18T12:31:29Z",
    "title_canon_sha256": "105d2460410766ae859920acc137a449d2829dc6823abcee60da9451457e3f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4087",
    "kind": "arxiv",
    "version": 2
  }
}