Pith Number

pith:FNL7ZL6C

pith:2017:FNL7ZL6CGBF5CEIPR56QDDIBXT

not attested not anchored not stored refs pending

Gcd-monoids arising from homotopy groupoids

Friedrich Wehrung (LMNO)

arxiv:1712.02787 v2 · 2017-12-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNL7ZL6CGBF5CEIPR56QDDIBXT}

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	2026-05-18T00:15:52.165220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b57fcafc2304bd1110f8f7d018d01bcc11dcf9898173fc1d6854330fb87fc82

Aliases

arxiv: 1712.02787 · arxiv_version: 1712.02787v2 · doi: 10.48550/arxiv.1712.02787 · pith_short_12: FNL7ZL6CGBF5 · pith_short_16: FNL7ZL6CGBF5CEIP · pith_short_8: FNL7ZL6C

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/FNL7ZL6CGBF5CEIPR56QDDIBXT \
  | 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: 2b57fcafc2304bd1110f8f7d018d01bcc11dcf9898173fc1d6854330fb87fc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2d3d52c63ef82e583ecc5036564fe2418fe36dc5a94304a0d76f8ab4bbbf8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-07T09:26:21Z",
    "title_canon_sha256": "5922075b72674868bbaa3159bd72416730a31a58e131695308c4dcf44500e630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02787",
    "kind": "arxiv",
    "version": 2
  }
}