Pith Number

pith:T6EBEDN3

pith:2018:T6EBEDN32NL4CW6CES2WIZIISX

not attested not anchored not stored refs pending

Stochastic Evolution of Coagulation-Fragmentation processes using the Accurate Chemical Master Equation approach

Farid Manuchehrfar, Jie Liang, Tom Chou, Wei Tian

arxiv:1811.10688 v1 · 2018-11-20 · 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{T6EBEDN32NL4CW6CES2WIZIISX}

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	2026-07-05T02:00:41.317703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f88120dbbd357c15bc224b564650895f21e012157cc352767c62cb30a220220

Aliases

arxiv: 1811.10688 · arxiv_version: 1811.10688v1 · doi: 10.48550/arxiv.1811.10688 · pith_short_12: T6EBEDN32NL4 · pith_short_16: T6EBEDN32NL4CW6C · pith_short_8: T6EBEDN3

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/T6EBEDN32NL4CW6CES2WIZIISX \
  | 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: 9f88120dbbd357c15bc224b564650895f21e012157cc352767c62cb30a220220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91332916f6a171ad25e996d4b5536c236640ea6c2cc60b9b552f9f348e4a1959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-11-20T05:05:26Z",
    "title_canon_sha256": "c15b21d824f3161a15936ef206c7af0fa9c4ebecdb767337b343f46ef7c5dc55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10688",
    "kind": "arxiv",
    "version": 1
  }
}