Pith Number

pith:Q6WKUY2D

pith:2012:Q6WKUY2DVSFVSQAUULO2IKZKLG

not attested not anchored not stored refs pending

Radically solvable graphs

Bill Jackson, J. C. Owen

arxiv:1207.1580 v1 · 2012-07-06 · 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{Q6WKUY2DVSFVSQAUULO2IKZKLG}

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	2026-05-18T03:51:36.793163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87acaa6343ac8b594014a2dda42b2a59a822f6c81cf2f568b2ec213cc9013dbe

Aliases

arxiv: 1207.1580 · arxiv_version: 1207.1580v1 · doi: 10.48550/arxiv.1207.1580 · pith_short_12: Q6WKUY2DVSFV · pith_short_16: Q6WKUY2DVSFVSQAU · pith_short_8: Q6WKUY2D

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/Q6WKUY2DVSFVSQAUULO2IKZKLG \
  | 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: 87acaa6343ac8b594014a2dda42b2a59a822f6c81cf2f568b2ec213cc9013dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668193cc8f30e5b29b4f4e54429d4be1da18ed76d7c6aea31e6311550a29fd7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-06T10:59:10Z",
    "title_canon_sha256": "dd1c85f7c5d3cb9e437ba19c2d6f0639f65eeb64fa83e4d1fa025cfa2db2a4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1580",
    "kind": "arxiv",
    "version": 1
  }
}