Pith Number

pith:CP6S3KIV

pith:2011:CP6S3KIVALY6YDUFOAXQBKRV2W

not attested not anchored not stored refs pending

Special cycles in independence complexes and superfrustration in some lattices

Michal Adamaszek

arxiv:1109.4914 v2 · 2011-09-22 · math.CO · 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{CP6S3KIVALY6YDUFOAXQBKRV2W}

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	2026-05-18T04:05:27.017470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fd2da91502f1ec0e85702f00aa35d5b920a8a28b5418bf42bad0455e307baa

Aliases

arxiv: 1109.4914 · arxiv_version: 1109.4914v2 · doi: 10.48550/arxiv.1109.4914 · pith_short_12: CP6S3KIVALY6 · pith_short_16: CP6S3KIVALY6YDUF · pith_short_8: CP6S3KIV

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/CP6S3KIVALY6YDUFOAXQBKRV2W \
  | 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: 13fd2da91502f1ec0e85702f00aa35d5b920a8a28b5418bf42bad0455e307baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2042591e31d1d7134cca9f6f4f8eca1cdfefb45906c3738276ba57307ac1d211",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-22T18:55:54Z",
    "title_canon_sha256": "6a7a48941acaefd8bde955f913671550f834b72442e81e2b6f65fbed41463118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4914",
    "kind": "arxiv",
    "version": 2
  }
}