Pith Number

pith:KYG4SBB5

pith:2026:KYG4SBB5ABYMG2LHEWXFHS3EMA

not attested not anchored not stored refs pending

A framework for general discrete probability calculations

Kacper Topolnicki, Roman Skibi\'nski

arxiv:2607.21011 v1 · 2026-07-23 · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYG4SBB5ABYMG2LHEWXFHS3EMA}

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	2026-07-24T01:23:47.246998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560dc9043d0070c3696725ae53cb646036c8b69b63c6e790fd00bbd73bd37c8d

Aliases

arxiv: 2607.21011 · arxiv_version: 2607.21011v1 · doi: 10.48550/arxiv.2607.21011 · pith_short_12: KYG4SBB5ABYM · pith_short_16: KYG4SBB5ABYMG2LH · pith_short_8: KYG4SBB5

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/KYG4SBB5ABYMG2LHEWXFHS3EMA \
  | 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: 560dc9043d0070c3696725ae53cb646036c8b69b63c6e790fd00bbd73bd37c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11cdcef01e49481ebcbb830cd5f99fdd14a2c597ad462d37bdf553adc7fcf66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2026-07-23T07:49:12Z",
    "title_canon_sha256": "6bcbe35c3073e607608e24bb777dfc51d26e7b5410f1ab466dbcaf5bd70aa99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21011",
    "kind": "arxiv",
    "version": 1
  }
}