Pith Number

pith:EVIBJW6K

pith:2013:EVIBJW6KFZZZ3JU374BE2HYLTH

not attested not anchored not stored refs pending

Percolation of finite clusters and infinite surfaces

Alexander E. Holroyd, Gady Kozma, Geoffrey R. Grimmett

arxiv:1303.1657 v2 · 2013-03-07 · 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{EVIBJW6KFZZZ3JU374BE2HYLTH}

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	2026-05-17T23:53:17.796997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255014dbca2e739da69bff024d1f0b99d40f27a211fbcbadf729f936dddd38c9

Aliases

arxiv: 1303.1657 · arxiv_version: 1303.1657v2 · doi: 10.48550/arxiv.1303.1657 · pith_short_12: EVIBJW6KFZZZ · pith_short_16: EVIBJW6KFZZZ3JU3 · pith_short_8: EVIBJW6K

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/EVIBJW6KFZZZ3JU374BE2HYLTH \
  | 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: 255014dbca2e739da69bff024d1f0b99d40f27a211fbcbadf729f936dddd38c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb75c7e16441aceafecef319bec08563ac19db2d8747df28af2f73b93ec0b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-07T12:10:06Z",
    "title_canon_sha256": "4ec3d62f1b038fda9f52462a23cc8f11467d49e301e0d3507dfb19b3d0b9344d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1657",
    "kind": "arxiv",
    "version": 2
  }
}