Pith Number

pith:PCTR3OP4

pith:2016:PCTR3OP4VIJELGJZDKDCAI3X6K

not attested not anchored not stored refs pending

Coloring Graphs to Produce Properly Colored Walks

Robert Melville, Wayne Goddard

arxiv:1610.04874 v2 · 2016-10-16 · 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{PCTR3OP4VIJELGJZDKDCAI3X6K}

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	2026-05-18T00:45:58.568784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a71db9fcaa124599391a86202377f297350e714320a189b502512acf61b40c

Aliases

arxiv: 1610.04874 · arxiv_version: 1610.04874v2 · doi: 10.48550/arxiv.1610.04874 · pith_short_12: PCTR3OP4VIJE · pith_short_16: PCTR3OP4VIJELGJZ · pith_short_8: PCTR3OP4

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/PCTR3OP4VIJELGJZDKDCAI3X6K \
  | 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: 78a71db9fcaa124599391a86202377f297350e714320a189b502512acf61b40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f40be69a16a1486f179d81db1a251f68174aa155282b835e9abaf2cfb918752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-16T15:48:32Z",
    "title_canon_sha256": "0608f8c519c09565d81f32408d9ba5d400f62af491634283107fd1c98f3b1b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04874",
    "kind": "arxiv",
    "version": 2
  }
}