Pith Number

pith:KUB7AH5W

pith:2001:KUB7AH5WJV26ATDJCRLITD3J7X

not attested not anchored not stored refs pending

Exact Complexity of Exact-Four-Colorability

J\"org Rothe

arxiv:cs/0109018 v1 · 2001-09-14 · 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{KUB7AH5WJV26ATDJCRLITD3J7X}

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	2026-05-18T01:09:08.429839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5503f01fb64d75e04c691456898f69fdd062ee50aedb2d921946a75c3fc8a3cf

Aliases

arxiv: cs/0109018 · arxiv_version: cs/0109018v1 · doi: 10.48550/arxiv.cs/0109018 · pith_short_12: KUB7AH5WJV26 · pith_short_16: KUB7AH5WJV26ATDJ · pith_short_8: KUB7AH5W

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/KUB7AH5WJV26ATDJCRLITD3J7X \
  | 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: 5503f01fb64d75e04c691456898f69fdd062ee50aedb2d921946a75c3fc8a3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3473c7ff90b016d9de3d5c41692571517647f07c4535e2b77592471ee44982a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2001-09-14T15:07:08Z",
    "title_canon_sha256": "9d0940d2fc277030b55c4b2e0934bc2eec2d828b1dd073850f16ed1c67bf4851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0109018",
    "kind": "arxiv",
    "version": 1
  }
}