Pith Number

pith:5QMXJDEB

pith:2009:5QMXJDEBDTQEDK7QWVSTJYTH67

not attested not anchored not stored refs pending

The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module

Joao Faria Martins, Roger Picken

arxiv:0907.2566 v3 · 2009-07-15 · math.CT · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QMXJDEBDTQEDK7QWVSTJYTH67}

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

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Receipt and verification

First computed	2026-05-18T00:44:10.552087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec19748c811ce041abf0b56534e267f7eb8fc2910fba76f98116f38ae890222e

Aliases

arxiv: 0907.2566 · arxiv_version: 0907.2566v3 · doi: 10.48550/arxiv.0907.2566 · pith_short_12: 5QMXJDEBDTQE · pith_short_16: 5QMXJDEBDTQEDK7Q · pith_short_8: 5QMXJDEB

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/5QMXJDEBDTQEDK7QWVSTJYTH67 \
  | 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: ec19748c811ce041abf0b56534e267f7eb8fc2910fba76f98116f38ae890222e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154bdae7eb22f9f47b3524a0fce3dff51b44c44c5d6f8ee420e5215ee75d4ced",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-07-15T11:53:12Z",
    "title_canon_sha256": "088e7ce1a1ac47545f223cd7b6ef2c60fcafd2199c27f4eeb24dc41b9eb2d761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2566",
    "kind": "arxiv",
    "version": 3
  }
}