Pith Number

pith:LXS7FYAE

pith:2019:LXS7FYAEELYQ6UOPZVEL3XYA4M

not attested not anchored not stored refs pending

The Firebreak Problem

Andrea C. Burgess, Brady Ryan, David A. Pike, Jared Howell, Jessica Enright, Kathleen D. Barnetson

arxiv:1901.07842 v2 · 2019-01-23 · 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{LXS7FYAEELYQ6UOPZVEL3XYA4M}

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	2026-07-05T01:28:59.344222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de5f2e00422f10f51cfcd48bddf00e308ed09e83ee9ba0e64c3519223b3776f

Aliases

arxiv: 1901.07842 · arxiv_version: 1901.07842v2 · doi: 10.48550/arxiv.1901.07842 · pith_short_12: LXS7FYAEELYQ · pith_short_16: LXS7FYAEELYQ6UOP · pith_short_8: LXS7FYAE

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/LXS7FYAEELYQ6UOPZVEL3XYA4M \
  | 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: 5de5f2e00422f10f51cfcd48bddf00e308ed09e83ee9ba0e64c3519223b3776f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db99f6904cb14e5354e9a56ab80c553ef344d49f8a364e0ddc1a51623afcd3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-23T12:16:41Z",
    "title_canon_sha256": "3fadf840b24fcbdc7e2896279c3041d829a2934bd1bf23a1c02caff49e0612c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07842",
    "kind": "arxiv",
    "version": 2
  }
}