Pith Number

pith:YGWJQJ4A

pith:2015:YGWJQJ4AKHEA3RY72X6VTKPQXA

not attested not anchored not stored refs pending

Trend to Equilibrium for the Becker-D\"oring Equations: An Analogue of Cercignani's Conjecture

Amit Einav, Bertrand Lods, Jos\'e A. Ca\~nizo

arxiv:1509.07631 v1 · 2015-09-25 · math-ph · math.AP · 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{YGWJQJ4AKHEA3RY72X6VTKPQXA}

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	2026-05-18T00:21:00.197573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ac98278051c80dc71fd5fd59a9f0b83d6463c68b6b1ac57bc4dae6e7217e13

Aliases

arxiv: 1509.07631 · arxiv_version: 1509.07631v1 · doi: 10.48550/arxiv.1509.07631 · pith_short_12: YGWJQJ4AKHEA · pith_short_16: YGWJQJ4AKHEA3RY7 · pith_short_8: YGWJQJ4A

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/YGWJQJ4AKHEA3RY72X6VTKPQXA \
  | 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: c1ac98278051c80dc71fd5fd59a9f0b83d6463c68b6b1ac57bc4dae6e7217e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0080954e3791380a38342da35d2e3f00bb402bd3ecd08e4af72e65734c272c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-25T08:40:19Z",
    "title_canon_sha256": "6b1a50e875a75cc3ce97e1e9717c74da25ae0392c5735379354b68703132f81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07631",
    "kind": "arxiv",
    "version": 1
  }
}