Pith Number

pith:M6FULE4Q

pith:2018:M6FULE4QMBEYSSJXAHVDSUEIGP

not attested not anchored not stored refs pending

Random knots in three-dimensional three-colour percolation: numerical results and conjectures

Damien Simon, Marthe de Crouy-Chanel

arxiv:1811.09066 v2 · 2018-11-22 · math-ph · cond-mat.stat-mech · math.MP · 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{M6FULE4QMBEYSSJXAHVDSUEIGP}

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	2026-05-17T23:45:52.509451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678b459390604989493701ea39508833d04b9cfa7758581edb28e1034cee8596

Aliases

arxiv: 1811.09066 · arxiv_version: 1811.09066v2 · doi: 10.48550/arxiv.1811.09066 · pith_short_12: M6FULE4QMBEY · pith_short_16: M6FULE4QMBEYSSJX · pith_short_8: M6FULE4Q

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/M6FULE4QMBEYSSJXAHVDSUEIGP \
  | 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: 678b459390604989493701ea39508833d04b9cfa7758581edb28e1034cee8596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422c6efb407f44484a44b48224f94803c19aa1eea0e01569e0e1ea67c2c93dd8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-22T09:09:58Z",
    "title_canon_sha256": "6f311d3d282741b5564c52bf96d28bd96c50156678671076ebb0db763b3211f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09066",
    "kind": "arxiv",
    "version": 2
  }
}