Pith Number

pith:M7FJGES5

pith:2026:M7FJGES56OSLZ4TVCK7BJL2SZW

not attested not anchored not stored refs pending

On a $\Lambda$-mutation model and the harmonic model

Cristian Giardin\`a, Martin M\"ohle

arxiv:2606.00781 v1 · 2026-05-30 · 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{M7FJGES56OSLZ4TVCK7BJL2SZW}

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	2026-06-02T01:04:05.554751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ca93125df3a4bcf27512be14af52cdaa2dabb586967c51bdd585280ff800c0

Aliases

arxiv: 2606.00781 · arxiv_version: 2606.00781v1 · doi: 10.48550/arxiv.2606.00781 · pith_short_12: M7FJGES56OSL · pith_short_16: M7FJGES56OSLZ4TV · pith_short_8: M7FJGES5

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/M7FJGES56OSLZ4TVCK7BJL2SZW \
  | 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: 67ca93125df3a4bcf27512be14af52cdaa2dabb586967c51bdd585280ff800c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0753646cc4f6c0de3476679da995392be9c3456d79b93f4d40c53231938e48a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-30T15:59:25Z",
    "title_canon_sha256": "1f111f40ca1f0a027da9704455d7ce8b7e138d2f3d544f7c7272bf27272354fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00781",
    "kind": "arxiv",
    "version": 1
  }
}