Pith Number

pith:4V6BCC27

pith:2011:4V6BCC27HG5HXI6HDTZBWP36EO

not attested not anchored not stored refs pending

A PSPACE-complete Graph Nim

Kyle Burke, Olivia George

arxiv:1101.1507 v3 · 2011-01-07 · cs.GT · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4V6BCC27HG5HXI6HDTZBWP36EO}

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	2026-05-18T02:41:01.381290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57c110b5f39ba7ba3c71cf21b3f7e23948d49cee271b69ae6d8856beb7b6ce5

Aliases

arxiv: 1101.1507 · arxiv_version: 1101.1507v3 · doi: 10.48550/arxiv.1101.1507 · pith_short_12: 4V6BCC27HG5H · pith_short_16: 4V6BCC27HG5HXI6H · pith_short_8: 4V6BCC27

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/4V6BCC27HG5HXI6HDTZBWP36EO \
  | 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: e57c110b5f39ba7ba3c71cf21b3f7e23948d49cee271b69ae6d8856beb7b6ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a53bb8bda8081937c4727ec8e2a56cd4d9da6e867946b0471be220de779b39",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-01-07T19:19:42Z",
    "title_canon_sha256": "8865f42ed112b1f288ceb938932d86fc50a763d4360ff236a17450228bbcec3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1507",
    "kind": "arxiv",
    "version": 3
  }
}