Pith Number

pith:ZDID4KUP

pith:2009:ZDID4KUP6P4GJ2L6K5TN2N7YGB

not attested not anchored not stored refs pending

Fluctuating hydrodynamics for dilute granular gases

J. Javier Brey, M. I. Garcia de Soria, P. Maynar

arxiv:0903.5162 v1 · 2009-03-30 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDID4KUP6P4GJ2L6K5TN2N7YGB}

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	2026-05-18T02:14:18.627522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d03e2a8ff3f864e97e5766dd37f8305086139087d36905ae76fd36d47eefcc

Aliases

arxiv: 0903.5162 · arxiv_version: 0903.5162v1 · doi: 10.48550/arxiv.0903.5162 · pith_short_12: ZDID4KUP6P4G · pith_short_16: ZDID4KUP6P4GJ2L6 · pith_short_8: ZDID4KUP

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/ZDID4KUP6P4GJ2L6K5TN2N7YGB \
  | 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: c8d03e2a8ff3f864e97e5766dd37f8305086139087d36905ae76fd36d47eefcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec463521d37ba80e48f521ab37c5642f88fb1a752ee26eeb4f09699f34b3e4ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-03-30T09:31:11Z",
    "title_canon_sha256": "02a115e37a791caab9f106af4eadc157b6bf73c6daea08d84d445be5efa22572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5162",
    "kind": "arxiv",
    "version": 1
  }
}