Pith Number

pith:HGQRFZP6

pith:2013:HGQRFZP6CTRXOFAGMZIF5Z7XEI

not attested not anchored not stored refs pending

Planar lattices do not recover from forest fires

Demeter Kiss, Ioan Manolescu, Vladas Sidoravicius

arxiv:1312.7004 v2 · 2013-12-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGQRFZP6CTRXOFAGMZIF5Z7XEI}

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	2026-05-18T01:24:04.441754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a112e5fe14e377140666505ee7f7222fe9c571cafd8b0c3885776af60e257e

Aliases

arxiv: 1312.7004 · arxiv_version: 1312.7004v2 · doi: 10.48550/arxiv.1312.7004 · pith_short_12: HGQRFZP6CTRX · pith_short_16: HGQRFZP6CTRXOFAG · pith_short_8: HGQRFZP6

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/HGQRFZP6CTRXOFAGMZIF5Z7XEI \
  | 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: 39a112e5fe14e377140666505ee7f7222fe9c571cafd8b0c3885776af60e257e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff08a025038f86ba5158a6aa5c5b17460b56d02f876eb9e2e416af8fd36dc91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-25T19:07:35Z",
    "title_canon_sha256": "cd08b291ecf02af158085160391dd1e3c726b35c8a6f39d0d8ca2c79cf625a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7004",
    "kind": "arxiv",
    "version": 2
  }
}