Pith Number

pith:NQLQ72UN

pith:2017:NQLQ72UN5CN6XF34WAWKCD76YU

not attested not anchored not stored refs pending

Topology in colored tensor models via crystallization theory

Luigi Grasselli, Maria Rita Casali, Paola Cristofori, Stephane Dartois

arxiv:1704.02800 v3 · 2017-04-10 · math-ph · hep-th · math.CO · 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{NQLQ72UN5CN6XF34WAWKCD76YU}

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	2026-05-18T00:21:51.334702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c170fea8de89beb977cb02ca10ffec52255ad8df9c39684c8cd6d936b9138dc

Aliases

arxiv: 1704.02800 · arxiv_version: 1704.02800v3 · doi: 10.48550/arxiv.1704.02800 · pith_short_12: NQLQ72UN5CN6 · pith_short_16: NQLQ72UN5CN6XF34 · pith_short_8: NQLQ72UN

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/NQLQ72UN5CN6XF34WAWKCD76YU \
  | 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: 6c170fea8de89beb977cb02ca10ffec52255ad8df9c39684c8cd6d936b9138dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f2fcbd890ce3ee8dec1737c6c1eb1a7428a2e73c8399ed953619e87d3fc603",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-10T11:03:18Z",
    "title_canon_sha256": "8e9146a213c16a3112df9d02a030cf5eaae57b6accfa5122d751f4a74fb5563e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02800",
    "kind": "arxiv",
    "version": 3
  }
}