Pith Number

pith:ZSBZKK5J

pith:2025:ZSBZKK5JNYFPLR22CMV7P5UES2

not attested not anchored not stored refs pending

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Federico Sau, Matteo Quattropani, Seonwoo Kim

arxiv:2505.02400 v1 · 2025-05-05 · math.PR · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSBZKK5JNYFPLR22CMV7P5UES2}

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.

Cited by

2 papers in Pith

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

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$

Receipt and verification

First computed	2026-07-05T10:58:36.494161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc83952ba96e0af5c75a132bf7f684969ead0ba7433b251074ee5e6c3956643c

Aliases

arxiv: 2505.02400 · arxiv_version: 2505.02400v1 · doi: 10.48550/arxiv.2505.02400 · pith_short_12: ZSBZKK5JNYFP · pith_short_16: ZSBZKK5JNYFPLR22 · pith_short_8: ZSBZKK5J

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/ZSBZKK5JNYFPLR22CMV7P5UES2 \
  | 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: cc83952ba96e0af5c75a132bf7f684969ead0ba7433b251074ee5e6c3956643c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ac28d6ccdd1b42c605cf7f04ccc85484f69e81fc99c63500a9a24c1c5c1951",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-05T06:46:05Z",
    "title_canon_sha256": "8f2d541c6a5fecba395229713c6597ccb68a6a433aace5ecc541e50d48586acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02400",
    "kind": "arxiv",
    "version": 1
  }
}