Pith Number

pith:EFK6GLHU

pith:2011:EFK6GLHUJD4RVGRN2JMNQ3FQ2V

not attested not anchored not stored refs pending

D\'ecalage and Kan's simplicial loop group functor

Danny Stevenson

arxiv:1112.0474 v2 · 2011-12-02 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFK6GLHUJD4RVGRN2JMNQ3FQ2V}

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	2026-05-18T04:01:37.755715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2155e32cf448f91a9a2dd258d86cb0d569fa7f4538550ead6597505ffe613d57

Aliases

arxiv: 1112.0474 · arxiv_version: 1112.0474v2 · doi: 10.48550/arxiv.1112.0474 · pith_short_12: EFK6GLHUJD4R · pith_short_16: EFK6GLHUJD4RVGRN · pith_short_8: EFK6GLHU

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/EFK6GLHUJD4RVGRN2JMNQ3FQ2V \
  | 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: 2155e32cf448f91a9a2dd258d86cb0d569fa7f4538550ead6597505ffe613d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32e59643b61ca0dc2327c773b44d18f4dc9a8245cace78fc5e49f1c44ef2c2d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-02T14:50:36Z",
    "title_canon_sha256": "603ff7546a43acae0df4874751b993ea40c50c8cbfad47393e966975fc330029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0474",
    "kind": "arxiv",
    "version": 2
  }
}