Pith Number

pith:3K3YV3OS

pith:2010:3K3YV3OS6CAWQ2YLYOP3LOII4L

not attested not anchored not stored refs pending

Holant Problems for Regular Graphs with Complex Edge Functions

Jin-Yi Cai, Michael Kowalczyk

arxiv:1001.0464 v3 · 2010-01-04 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K3YV3OS6CAWQ2YLYOP3LOII4L}

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	2026-05-18T04:16:02.624280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab78aedd2f081686b0bc39fb5b908e2d9e3fb0f88209aea20ba707affdc1a19

Aliases

arxiv: 1001.0464 · arxiv_version: 1001.0464v3 · doi: 10.48550/arxiv.1001.0464 · pith_short_12: 3K3YV3OS6CAW · pith_short_16: 3K3YV3OS6CAWQ2YL · pith_short_8: 3K3YV3OS

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/3K3YV3OS6CAWQ2YLYOP3LOII4L \
  | 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: dab78aedd2f081686b0bc39fb5b908e2d9e3fb0f88209aea20ba707affdc1a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1cc13202e48b45b59640b32686b6e6a05d6783a12c424f5636422eba592fb94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-01-04T12:33:25Z",
    "title_canon_sha256": "f263d2e77520ca725cc2bb9f13eab64e86a26c1f72a963dc965fa1fa08a3ad7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0464",
    "kind": "arxiv",
    "version": 3
  }
}