Pith Number

pith:FHHOROLC

pith:2016:FHHOROLCJDWLW4EILMC346M52A

not attested not anchored not stored refs pending

Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities

Artem Sapozhnikov, Deepan Basu

arxiv:1603.06884 v2 · 2016-03-22 · 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{FHHOROLCJDWLW4EILMC346M52A}

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	2026-05-18T00:59:25.678460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cee8b96248ecbb70885b05be799dd03d364797277b8a8f1690ad8d513e87c1

Aliases

arxiv: 1603.06884 · arxiv_version: 1603.06884v2 · doi: 10.48550/arxiv.1603.06884 · pith_short_12: FHHOROLCJDWL · pith_short_16: FHHOROLCJDWLW4EI · pith_short_8: FHHOROLC

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/FHHOROLCJDWLW4EILMC346M52A \
  | 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: 29cee8b96248ecbb70885b05be799dd03d364797277b8a8f1690ad8d513e87c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd0046c11fcd903f2f02d2d553a6752f49c0e99620d5a960a6e3cfdd359d792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-22T17:33:44Z",
    "title_canon_sha256": "cf6cdea52d81ca15df903973ee8544cfcec9c65b36b7964ca201942394b62778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06884",
    "kind": "arxiv",
    "version": 2
  }
}