Pith Number

pith:NSCG7UBC

pith:2010:NSCG7UBCZBF2SV42RJZKFOR4DB

not attested not anchored not stored refs pending

Generalising tractable VCSPs defined by symmetric tournament pair multimorphisms

Stanislav Zivny, Vladimir Kolmogorov

arxiv:1008.3104 v1 · 2010-08-18 · 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{NSCG7UBCZBF2SV42RJZKFOR4DB}

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	2026-05-18T04:42:03.599841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c846fd022c84ba9579a8a72a2ba3c1861a4676830d7dd6b311051f2eb2e4789

Aliases

arxiv: 1008.3104 · arxiv_version: 1008.3104v1 · doi: 10.48550/arxiv.1008.3104 · pith_short_12: NSCG7UBCZBF2 · pith_short_16: NSCG7UBCZBF2SV42 · pith_short_8: NSCG7UBC

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/NSCG7UBCZBF2SV42RJZKFOR4DB \
  | 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: 6c846fd022c84ba9579a8a72a2ba3c1861a4676830d7dd6b311051f2eb2e4789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3638969ae01785e2b75001898f526fd564d155fc307870cd4d2c5fc03cf244",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-08-18T15:15:38Z",
    "title_canon_sha256": "f44cec5acbfdd1edbe02ea54e232cd8c351a1984871fba54dfc73d5d99e42c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3104",
    "kind": "arxiv",
    "version": 1
  }
}