Pith Number

pith:FCOLV7M3

pith:2010:FCOLV7M3XW6S43FGKZ7M6XZHJA

not attested not anchored not stored refs pending

From Holant To #CSP And Back: Dichotomy For Holant$^c$ Problems

Jin-Yi Cai, Pinyan Lu, Sangxia Huang

arxiv:1004.0803 v1 · 2010-04-06 · 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{FCOLV7M3XW6S43FGKZ7M6XZHJA}

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	2026-05-18T02:24:17.415301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289cbafd9bbdbd2e6ca6567ecf5f274839d93192ff8489fb8701fd58d08fb28d

Aliases

arxiv: 1004.0803 · arxiv_version: 1004.0803v1 · doi: 10.48550/arxiv.1004.0803 · pith_short_12: FCOLV7M3XW6S · pith_short_16: FCOLV7M3XW6S43FG · pith_short_8: FCOLV7M3

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/FCOLV7M3XW6S43FGKZ7M6XZHJA \
  | 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: 289cbafd9bbdbd2e6ca6567ecf5f274839d93192ff8489fb8701fd58d08fb28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b45bb83f612c65cc2e776bc86b75151d36fed0f2d52be7b717023b1a897a923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-04-06T09:07:21Z",
    "title_canon_sha256": "c9765871693e6938b8e262331f879deb2138cbecb5dd805cd02070be88c05fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0803",
    "kind": "arxiv",
    "version": 1
  }
}