Pith Number

pith:A2O6EWWU

pith:2016:A2O6EWWU2R4AORB5F7VODEDVV5

not attested not anchored not stored refs pending

Equitable coloring of sparse planar graphs

D. Christopher Stephens, Gexin Yu, Jean-S\'ebastien Sereni, Rong Luo

arxiv:1611.06031 v1 · 2016-11-18 · 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{A2O6EWWU2R4AORB5F7VODEDVV5}

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	2026-05-18T00:57:43.257794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

069de25ad4d47807443d2feae19075af6cb8c4e389e31c15d18fbb21dbd419e7

Aliases

arxiv: 1611.06031 · arxiv_version: 1611.06031v1 · doi: 10.48550/arxiv.1611.06031 · pith_short_12: A2O6EWWU2R4A · pith_short_16: A2O6EWWU2R4AORB5 · pith_short_8: A2O6EWWU

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/A2O6EWWU2R4AORB5F7VODEDVV5 \
  | 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: 069de25ad4d47807443d2feae19075af6cb8c4e389e31c15d18fbb21dbd419e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8ce385d5412fd7d3de60ecb33e7783410c151344694119d7333d22fbb6e0e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-18T10:24:37Z",
    "title_canon_sha256": "2aac4752d64d520a66596725c88be9a202d73fd929e1b80395c90889d820ace1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06031",
    "kind": "arxiv",
    "version": 1
  }
}