Pith Number

pith:HEHTXIJ6

pith:2006:HEHTXIJ6IUPY53R47IVDJBG3YA

not attested not anchored not stored refs pending

Uniqueness and non-uniqueness in percolation theory

Johan Jonasson, Olle H\"aggstr\"om

arxiv:math/0612812 v1 · 2006-12-28 · 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{HEHTXIJ6IUPY53R47IVDJBG3YA}

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	2026-05-18T01:08:49.290784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390f3ba13e451f8eee3cfa2a3484dbc013545e3adf575de1108376fbb124edcd

Aliases

arxiv: math/0612812 · arxiv_version: math/0612812v1 · doi: 10.48550/arxiv.math/0612812 · pith_short_12: HEHTXIJ6IUPY · pith_short_16: HEHTXIJ6IUPY53R4 · pith_short_8: HEHTXIJ6

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/HEHTXIJ6IUPY53R47IVDJBG3YA \
  | 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: 390f3ba13e451f8eee3cfa2a3484dbc013545e3adf575de1108376fbb124edcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9892c57f94696f13ec7428f522185b56b0c4e2e3f5bad60681ce8355dcdab3a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-28T08:55:58Z",
    "title_canon_sha256": "342ec654bbbd9cf148e11b3b6ff74b48cbdd65fd4be83355c151cd5730367636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612812",
    "kind": "arxiv",
    "version": 1
  }
}