Pith Number

pith:OUEVQ5JG

pith:2012:OUEVQ5JGYYOE37RCOBYWNCZU5V

not attested not anchored not stored refs pending

Exact solutions of kinetic equations in an autocatalytic growth model

Jakub J\c{e}drak

arxiv:1211.5814 v1 · 2012-11-25 · cond-mat.stat-mech · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUEVQ5JGYYOE37RCOBYWNCZU5V}

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	2026-05-18T01:52:55.299134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7509587526c61c4dfe227071668b34ed4c751ed1117ebb14708676632ad58974

Aliases

arxiv: 1211.5814 · arxiv_version: 1211.5814v1 · doi: 10.48550/arxiv.1211.5814 · pith_short_12: OUEVQ5JGYYOE · pith_short_16: OUEVQ5JGYYOE37RC · pith_short_8: OUEVQ5JG

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/OUEVQ5JGYYOE37RCOBYWNCZU5V \
  | 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: 7509587526c61c4dfe227071668b34ed4c751ed1117ebb14708676632ad58974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863d80d73f775ffc5ba9e6b407557f6c2867852e4a5526c2daf1316e143fbe25",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-25T21:56:21Z",
    "title_canon_sha256": "0582943d6bcb7a3c4921b7aabf35f9ddd40a02aaba82eae7fbb839961d52e1c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5814",
    "kind": "arxiv",
    "version": 1
  }
}