Pith Number

pith:OWVF3ZRW

pith:2012:OWVF3ZRWLI23F5V37PBCJ75HZB

not attested not anchored not stored refs pending

Uniform convergence to equilibrium for granular media

Arnaud Guillin, Fran\c{c}ois Bolley (CEREMADE), Ivan Gentil (ICJ)

arxiv:1204.4138 v1 · 2012-04-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWVF3ZRWLI23F5V37PBCJ75HZB}

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	2026-05-18T01:57:49.241282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75aa5de6365a35b2f6bbfbc224ffa7c85a3a876290ddff0106a087caab2f4747

Aliases

arxiv: 1204.4138 · arxiv_version: 1204.4138v1 · doi: 10.48550/arxiv.1204.4138 · pith_short_12: OWVF3ZRWLI23 · pith_short_16: OWVF3ZRWLI23F5V3 · pith_short_8: OWVF3ZRW

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/OWVF3ZRWLI23F5V37PBCJ75HZB \
  | 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: 75aa5de6365a35b2f6bbfbc224ffa7c85a3a876290ddff0106a087caab2f4747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4f7a268ff4c351c9f81514b05730944d8bafd2c55c2ac5dd3b78b361160e4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-18T17:09:10Z",
    "title_canon_sha256": "9e9a9fa0d965c2bb6ed328f089ceef7e043c07aa81f5c5c4c8bcba46bcabbfcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4138",
    "kind": "arxiv",
    "version": 1
  }
}