Pith Number

pith:H3QRPPSN

pith:2013:H3QRPPSNJNBLP56SHMNLPBHYRD

not attested not anchored not stored refs pending

Infinitesimal 2-braidings and differential crossed modules

Jo\~ao Faria Martins, Lucio S. Cirio

arxiv:1309.4070 v3 · 2013-09-16 · math.CT · hep-th · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3QRPPSNJNBLP56SHMNLPBHYRD}

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	2026-05-18T00:44:10.319586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee117be4d4b42b7f7d23b1ab784f888da2aeb4e8de7df287c072b6b8544d8a5

Aliases

arxiv: 1309.4070 · arxiv_version: 1309.4070v3 · doi: 10.48550/arxiv.1309.4070 · pith_short_12: H3QRPPSNJNBL · pith_short_16: H3QRPPSNJNBLP56S · pith_short_8: H3QRPPSN

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/H3QRPPSNJNBLP56SHMNLPBHYRD \
  | 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: 3ee117be4d4b42b7f7d23b1ab784f888da2aeb4e8de7df287c072b6b8544d8a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206e50c3df70666b05672621df2bd535aa14fcd7415edde502b3dd9ae56bf000",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-09-16T19:06:34Z",
    "title_canon_sha256": "f9606e421a49fcec40c16c14c33afc6864b64550dbbd1fdd1406687b760abd5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4070",
    "kind": "arxiv",
    "version": 3
  }
}