Pith Number

pith:X3VCZGQH

pith:2015:X3VCZGQH36Z5RRQDWKAM42PF7D

not attested not anchored not stored refs pending

Color-blind index in graphs of very low degree

Charlie Suer, Derrick Stolee, Devon Sigler, Jennifer Diemunsch, Lauren M. Nelsen, Lucas Kramer, Luke L. Nelsen, Nathan Graber, Victor Larsen

arxiv:1506.08345 v1 · 2015-06-28 · 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{X3VCZGQH36Z5RRQDWKAM42PF7D}

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	2026-05-18T00:34:45.082526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beea2c9a07dfb3d8c603b280ce69e5f8ce4a23edcf4985afcfb19d0b4ac10a15

Aliases

arxiv: 1506.08345 · arxiv_version: 1506.08345v1 · doi: 10.48550/arxiv.1506.08345 · pith_short_12: X3VCZGQH36Z5 · pith_short_16: X3VCZGQH36Z5RRQD · pith_short_8: X3VCZGQH

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/X3VCZGQH36Z5RRQDWKAM42PF7D \
  | 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: beea2c9a07dfb3d8c603b280ce69e5f8ce4a23edcf4985afcfb19d0b4ac10a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fbed318e3eddded4d42dd4e5d6944d0b22d8b13287ab014c2aa7ede0b88fea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-28T02:08:56Z",
    "title_canon_sha256": "ecf7725d585345a3aed75a6b3ba334eb1af4cdb493eadcc607bcad1d9f8e0647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08345",
    "kind": "arxiv",
    "version": 1
  }
}