Pith Number

pith:DSH4ZMCU

pith:2011:DSH4ZMCUAW5HHJI5FAEXT5M42N

not attested not anchored not stored refs pending

Group-groupoids and monodromy groupoids

Berrin K{\i}l{\i}\c{c}arslan, Nazmiye Alemdar, Osman Mucuk, Tun\c{c}ar \c{S}ahan

arxiv:1112.5536 v2 · 2011-12-23 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSH4ZMCUAW5HHJI5FAEXT5M42N}

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	2026-05-18T04:05:37.860351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c8fccb05405ba73a51d280979f59cd34a2f1575f7d631091789409d55fd8bd4

Aliases

arxiv: 1112.5536 · arxiv_version: 1112.5536v2 · doi: 10.48550/arxiv.1112.5536 · pith_short_12: DSH4ZMCUAW5H · pith_short_16: DSH4ZMCUAW5HHJI5 · pith_short_8: DSH4ZMCU

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/DSH4ZMCUAW5HHJI5FAEXT5M42N \
  | 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: 1c8fccb05405ba73a51d280979f59cd34a2f1575f7d631091789409d55fd8bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3eb59b2fff056a7623305b13ace714f9fd604036eb27c822c83a17d82db1917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-23T09:02:26Z",
    "title_canon_sha256": "e44e244bc7b1d271f8af0b892370649470bab629a535f01077241eb5494c0302"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5536",
    "kind": "arxiv",
    "version": 2
  }
}