Pith Number

pith:GG6BIUSD

pith:2009:GG6BIUSDDD22MMZBR4ZYZ3ZEQ3

not attested not anchored not stored refs pending

Graph Homomorphisms with Complex Values: A Dichotomy Theorem

Jin-Yi Cai, Pinyan Lu, Xi Chen

arxiv:0903.4728 v2 · 2009-03-27 · 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{GG6BIUSDDD22MMZBR4ZYZ3ZEQ3}

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	2026-05-18T04:11:32.013679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bc14524318f5a633218f338cef2486cd9b79e91802ff27b7f5744cf18335d4

Aliases

arxiv: 0903.4728 · arxiv_version: 0903.4728v2 · doi: 10.48550/arxiv.0903.4728 · pith_short_12: GG6BIUSDDD22 · pith_short_16: GG6BIUSDDD22MMZB · pith_short_8: GG6BIUSD

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/GG6BIUSDDD22MMZBR4ZYZ3ZEQ3 \
  | 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: 31bc14524318f5a633218f338cef2486cd9b79e91802ff27b7f5744cf18335d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b64b59daa5cb77df4f0414e85449b497a18888b60895c41edb3d5226af5590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-03-27T02:57:32Z",
    "title_canon_sha256": "a31322a540ace3e0e12ea9b9871910dc5205100489eb8a161b7cd849e6d7d15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4728",
    "kind": "arxiv",
    "version": 2
  }
}