Pith Number

pith:JO3MAQ4H

pith:2025:JO3MAQ4HUYLGIRWE4EBWQXO5X3

not attested not anchored not stored refs pending

Cylindric growth diagrams, walks in simplices, and exclusion processes

Sergi Elizalde

arxiv:2507.01097 v2 · 2025-07-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JO3MAQ4HUYLGIRWE4EBWQXO5X3}

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	2026-06-09T01:05:07.567265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb6c04387a6166446c4e103685dddbed075aef37ae71ceeca9decdd94181681

Aliases

arxiv: 2507.01097 · arxiv_version: 2507.01097v2 · doi: 10.48550/arxiv.2507.01097 · pith_short_12: JO3MAQ4HUYLG · pith_short_16: JO3MAQ4HUYLGIRWE · pith_short_8: JO3MAQ4H

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/JO3MAQ4HUYLGIRWE4EBWQXO5X3 \
  | 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: 4bb6c04387a6166446c4e103685dddbed075aef37ae71ceeca9decdd94181681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa7bf2e8c5a6316e2b493700d74ac79dfa150c0bec11e35aa66110f21a84cff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-01T18:01:03Z",
    "title_canon_sha256": "79b16cbbca1b71df5da96ffff239837177e2ee06181d431a6dbe4bc2ab143d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01097",
    "kind": "arxiv",
    "version": 2
  }
}