Pith Number

pith:GXGCKVQS

pith:2014:GXGCKVQSV3WXE5RBGB7HXOH7DA

not attested not anchored not stored refs pending

A construction of smooth travel groupoids on finite graphs

Atsuhiko Mizusawa, Diogo Kendy Matsumoto

arxiv:1409.3711 v4 · 2014-09-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXGCKVQSV3WXE5RBGB7HXOH7DA}

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	2026-05-18T01:16:21.865376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cc255612aeed727621307e7bb8ff18368b7cf8a408ddb419deac602e6a4b9c

Aliases

arxiv: 1409.3711 · arxiv_version: 1409.3711v4 · doi: 10.48550/arxiv.1409.3711 · pith_short_12: GXGCKVQSV3WX · pith_short_16: GXGCKVQSV3WXE5RB · pith_short_8: GXGCKVQS

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/GXGCKVQSV3WXE5RBGB7HXOH7DA \
  | 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: 35cc255612aeed727621307e7bb8ff18368b7cf8a408ddb419deac602e6a4b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e8621a5fedf986d8855b7bf5c412618d1d1c60e69a505a57f513504bd36292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-12T11:50:36Z",
    "title_canon_sha256": "5977f86a524002dea847dce644a15339dea203cb2f29fd3f9321673903e330e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3711",
    "kind": "arxiv",
    "version": 4
  }
}