Pith Number

pith:AIWOL2QN

pith:2019:AIWOL2QNGYWN4BZQKQVARH5JZQ

not attested not anchored not stored refs pending

Site percolation and isoperimetric inequalities for plane graphs

Christoforos Panagiotis, John Haslegrave

arxiv:1905.09723 v2 · 2019-05-23 · math.PR · 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{AIWOL2QNGYWN4BZQKQVARH5JZQ}

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.

Cited by

1 paper in Pith

On the exponential growth rates of lattice animals and interfaces

Receipt and verification

First computed	2026-07-05T03:58:32.025411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022ce5ea0d362cde0730542a089fa9cc02034432b6ca01b6a4e31cdc101f2f34

Aliases

arxiv: 1905.09723 · arxiv_version: 1905.09723v2 · doi: 10.48550/arxiv.1905.09723 · pith_short_12: AIWOL2QNGYWN · pith_short_16: AIWOL2QNGYWN4BZQ · pith_short_8: AIWOL2QN

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/AIWOL2QNGYWN4BZQKQVARH5JZQ \
  | 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: 022ce5ea0d362cde0730542a089fa9cc02034432b6ca01b6a4e31cdc101f2f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed03500c2c1f9710ace3fcb00caa516cef8055563e0d820614afa64feba940b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-23T15:34:39Z",
    "title_canon_sha256": "4c2ceeb59916b7424421449d87ee73905f33b76662b7ddeed18841c4eb77be7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09723",
    "kind": "arxiv",
    "version": 2
  }
}