Pith Number

pith:RREXZFVA

pith:2013:RREXZFVA4S4SMJOIUW45CVD2UF

not attested not anchored not stored refs pending

Coloring Planar Graphs via Colored Paths in the Associahedra

Garry Bowlin, Matthew G. Brin

arxiv:1301.3984 v4 · 2013-01-17 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RREXZFVA4S4SMJOIUW45CVD2UF}

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	2026-05-18T03:16:38.557823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c497c96a0e4b92625c8a5b9d1547aa14aa2c6ed3d175dd9fbd4263b6f84bd1a

Aliases

arxiv: 1301.3984 · arxiv_version: 1301.3984v4 · doi: 10.48550/arxiv.1301.3984 · pith_short_12: RREXZFVA4S4S · pith_short_16: RREXZFVA4S4SMJOI · pith_short_8: RREXZFVA

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/RREXZFVA4S4SMJOIUW45CVD2UF \
  | 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: 8c497c96a0e4b92625c8a5b9d1547aa14aa2c6ed3d175dd9fbd4263b6f84bd1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe0d0b87032438433430ccbe043e37e56f73031ba37fb1ac26b1d37886fdd8ff",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-17T05:05:25Z",
    "title_canon_sha256": "df137fa4e9f29c2b731c3bbb43f0bf66fe9a840241afd431d6dd856d1d254902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3984",
    "kind": "arxiv",
    "version": 4
  }
}