Pith Number

pith:VS47BDPA

pith:2026:VS47BDPARDG4NCAXLT572FACPL

not attested not anchored not stored refs pending

Exact determinant formulas for coalescing particle systems

\'Akos Urb\'an, Piotr \'Sniady

arxiv:2602.10782 v3 · 2026-02-11 · math.PR · 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{VS47BDPARDG4NCAXLT572FACPL}

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	2026-07-09T01:19:51.793722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb9f08de088cdc688175cfbfd14027ac41d6f900c6074c9d18f3ee83d701642

Aliases

arxiv: 2602.10782 · arxiv_version: 2602.10782v3 · doi: 10.48550/arxiv.2602.10782 · pith_short_12: VS47BDPARDG4 · pith_short_16: VS47BDPARDG4NCAX · pith_short_8: VS47BDPA

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/VS47BDPARDG4NCAXLT572FACPL \
  | 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: acb9f08de088cdc688175cfbfd14027ac41d6f900c6074c9d18f3ee83d701642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0bae51070f1cd9dfd38ab78d880e9a82321f1e65d93ead421de19aab805b264",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-11T12:16:16Z",
    "title_canon_sha256": "9a3a1e95d1fbdb4ea483bc6b3710512e3421b1e0a88ccc4b77eb1947ac2f10c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10782",
    "kind": "arxiv",
    "version": 3
  }
}