Pith Number

pith:ZMXKIDS5

pith:2011:ZMXKIDS5M3OX725TLTK3QLSMK3

not attested not anchored not stored refs pending

Twistings of KR for Real groupoids

El-ka\"ioum M. Moutuou

arxiv:1110.6836 v1 · 2011-10-31 · math.KT · math-ph · math.AT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMXKIDS5M3OX725TLTK3QLSMK3}

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	2026-05-18T04:09:54.095496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2ea40e5d66dd7febb35cd5b82e4c56d6a62139c84e72180401276dc9c570a9

Aliases

arxiv: 1110.6836 · arxiv_version: 1110.6836v1 · doi: 10.48550/arxiv.1110.6836 · pith_short_12: ZMXKIDS5M3OX · pith_short_16: ZMXKIDS5M3OX725T · pith_short_8: ZMXKIDS5

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/ZMXKIDS5M3OX725TLTK3QLSMK3 \
  | 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: cb2ea40e5d66dd7febb35cd5b82e4c56d6a62139c84e72180401276dc9c570a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c00fe00d8fc1c3e04b8c1276a31657f98658525d8e44919fe33935734186674",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-31T15:35:38Z",
    "title_canon_sha256": "3f252158a05647b1717965ecd4c8c879baf25cf966a23408bf90822010899d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6836",
    "kind": "arxiv",
    "version": 1
  }
}