Pith Number

pith:ORLAWLHO

pith:2014:ORLAWLHO6GW3QHAJAIQV5TM6Q2

not attested not anchored not stored refs pending

Vertex-Colored Graphs, Bicycle Spaces and Mahler Measure

Daniel S. Silver, Kalyn R. Lamey, Susan G. Williams

arxiv:1408.6570 v3 · 2014-08-27 · math.CO · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORLAWLHO6GW3QHAJAIQV5TM6Q2}

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	2026-05-18T01:30:15.517866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74560b2ceef1adb81c0902215ecd9e8691f152903c11715c652a87c89371828d

Aliases

arxiv: 1408.6570 · arxiv_version: 1408.6570v3 · doi: 10.48550/arxiv.1408.6570 · pith_short_12: ORLAWLHO6GW3 · pith_short_16: ORLAWLHO6GW3QHAJ · pith_short_8: ORLAWLHO

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/ORLAWLHO6GW3QHAJAIQV5TM6Q2 \
  | 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: 74560b2ceef1adb81c0902215ecd9e8691f152903c11715c652a87c89371828d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b149d3fec836d36b1c8df757d3130eef75f11133bc137ee82d85983b445584",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-27T21:22:25Z",
    "title_canon_sha256": "1b1c571e506bd6598055f9994da7bf947dcd237cefaacc3c23843c66592045ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6570",
    "kind": "arxiv",
    "version": 3
  }
}