Pith Number

pith:J2Z4OJPQ

pith:2015:J2Z4OJPQ3O6MYVIXOH2RLAIM4V

not attested not anchored not stored refs pending

Properly colored and rainbow copies of graphs with few cherries

Benny Sudakov, Jan Volec

arxiv:1504.06176 v3 · 2015-04-23 · 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{J2Z4OJPQ3O6MYVIXOH2RLAIM4V}

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	2026-05-18T01:11:03.530485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb3c725f0dbbccc551771f515810ce54832c1ef43211dc98a23421c4c696c53

Aliases

arxiv: 1504.06176 · arxiv_version: 1504.06176v3 · doi: 10.48550/arxiv.1504.06176 · pith_short_12: J2Z4OJPQ3O6M · pith_short_16: J2Z4OJPQ3O6MYVIX · pith_short_8: J2Z4OJPQ

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/J2Z4OJPQ3O6MYVIXOH2RLAIM4V \
  | 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: 4eb3c725f0dbbccc551771f515810ce54832c1ef43211dc98a23421c4c696c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb04bddc4bb320e1947db6f1988440767c6e5fe3edbb9efcbe083b2e57f5b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-23T13:39:06Z",
    "title_canon_sha256": "d74b05707e8889f3000d17a43a2d3f528fad94886c491457e3d53cb747b374d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06176",
    "kind": "arxiv",
    "version": 3
  }
}