Pith Number

pith:D6WOWKHA

pith:2015:D6WOWKHA2QLERCIC3XYU4VTUT3

not attested not anchored not stored refs pending

The Coarse Geometry of Hartnell's Firefighter Problem on Infinite Graphs

Brandon Thorne, Danny Dyer, Eduardo Martinez-Pedroza

arxiv:1507.03050 v6 · 2015-07-11 · 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{D6WOWKHA2QLERCIC3XYU4VTUT3}

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	2026-05-18T00:52:17.743797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1faceb28e0d416488902ddf14e56749ee6fef3f01ae37b52409b339ce5d04be9

Aliases

arxiv: 1507.03050 · arxiv_version: 1507.03050v6 · doi: 10.48550/arxiv.1507.03050 · pith_short_12: D6WOWKHA2QLE · pith_short_16: D6WOWKHA2QLERCIC · pith_short_8: D6WOWKHA

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/D6WOWKHA2QLERCIC3XYU4VTUT3 \
  | 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: 1faceb28e0d416488902ddf14e56749ee6fef3f01ae37b52409b339ce5d04be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67641f14251271812738f6300f4649c10e73986c5975c3954d6938e1c3624d67",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-11T00:46:12Z",
    "title_canon_sha256": "5747058f854bb343e31701b5c537ee645f168a617c9aafc62d1966bcf1ac6520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03050",
    "kind": "arxiv",
    "version": 6
  }
}