Pith Number

pith:XT4AFGYN

pith:2004:XT4AFGYNIGZGHBDYJ5OAZI4NK7

not attested not anchored not stored refs pending

Entropy dissipation estimates in a Zero-Range dynamics

Gustavo Posta, Pietro Caputo

arxiv:math/0405455 v2 · 2004-05-24 · math.PR · math-ph · 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{XT4AFGYNIGZGHBDYJ5OAZI4NK7}

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	2026-05-18T04:39:39.659125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf8029b0d41b26384784f5c0ca38d57dbdd6ad51e99ca01bf681af59657b093

Aliases

arxiv: math/0405455 · arxiv_version: math/0405455v2 · doi: 10.48550/arxiv.math/0405455 · pith_short_12: XT4AFGYNIGZG · pith_short_16: XT4AFGYNIGZGHBDY · pith_short_8: XT4AFGYN

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/XT4AFGYNIGZGHBDYJ5OAZI4NK7 \
  | 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: bcf8029b0d41b26384784f5c0ca38d57dbdd6ad51e99ca01bf681af59657b093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1041c03b6eec1fcc48fe9eae05400bbfc4d4c1a758c5893fa26013a4b6ff9d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-24T15:41:34Z",
    "title_canon_sha256": "51e1b711d53fe8b94114bc896c8854dadccddd42e5477693eaaee76601f28b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405455",
    "kind": "arxiv",
    "version": 2
  }
}