Pith Number

pith:TUFYLSCR

pith:2012:TUFYLSCRUNRKMNU2OGD4U2C53P

not attested not anchored not stored refs pending

Euler hydrodynamics for attractive particle systems in random environment

Christophe Bahadoran, Ellen Saada (MAP5), Herv\'e Guiol (TIMC), K. Ravishankar (SUNY)

arxiv:1201.2160 v2 · 2012-01-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUFYLSCRUNRKMNU2OGD4U2C53P}

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	2026-05-18T03:36:27.008168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0b85c851a362a6369a7187ca685ddbef58d8227f89487776e3ea78e6c83bba

Aliases

arxiv: 1201.2160 · arxiv_version: 1201.2160v2 · doi: 10.48550/arxiv.1201.2160 · pith_short_12: TUFYLSCRUNRK · pith_short_16: TUFYLSCRUNRKMNU2 · pith_short_8: TUFYLSCR

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/TUFYLSCRUNRKMNU2OGD4U2C53P \
  | 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: 9d0b85c851a362a6369a7187ca685ddbef58d8227f89487776e3ea78e6c83bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66278cf942f8fb60abb98234754c34df28fa6d40b221ff4ef9c0403204210d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-10T20:17:32Z",
    "title_canon_sha256": "eac4a4da996bbcd2384685bf1fdd51c22f453bbf8814e5dba121edc695c93c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2160",
    "kind": "arxiv",
    "version": 2
  }
}