Pith Number

pith:CL3HB4VK

pith:2011:CL3HB4VKA3FSB2GENWQ2MMGRBX

not attested not anchored not stored refs pending

Quasi-abelian crossed modules and nonabelian cohomology

Cristian D. Gonz\'alez-Avil\'es

arxiv:1110.4542 v2 · 2011-10-20 · math.NT · math.AG · 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{CL3HB4VKA3FSB2GENWQ2MMGRBX}

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	2026-05-18T04:05:38.186085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f670f2aa06cb20e8c46da1a630d10dd0dac8b4598695ffced8a21a848fbff6

Aliases

arxiv: 1110.4542 · arxiv_version: 1110.4542v2 · doi: 10.48550/arxiv.1110.4542 · pith_short_12: CL3HB4VKA3FS · pith_short_16: CL3HB4VKA3FSB2GE · pith_short_8: CL3HB4VK

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/CL3HB4VKA3FSB2GENWQ2MMGRBX \
  | 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: 12f670f2aa06cb20e8c46da1a630d10dd0dac8b4598695ffced8a21a848fbff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c58b8235ebcc2dab07a7e03bc2f3e17c5de91214ea5d3068e2eeceb69e9cfc9",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-20T14:39:04Z",
    "title_canon_sha256": "fe45cb6bb5620f768f2312750739c8b9c34831638cd1d68c4d9dfb7682b3ef4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4542",
    "kind": "arxiv",
    "version": 2
  }
}