Pith Number

pith:2H25ZMQ2

pith:2009:2H25ZMQ2KS74AYIWOBZPAW7MPE

not attested not anchored not stored refs pending

Rates of convergence for Smoluchowski's coagulation equations

Ravi Srinivasan

arxiv:0905.3450 v3 · 2009-05-21 · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2H25ZMQ2KS74AYIWOBZPAW7MPE}

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	2026-05-18T04:23:34.456424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f5dcb21a54bfc061167072f05bec792efa45abe97f3d2cf4b1540214f7b484

Aliases

arxiv: 0905.3450 · arxiv_version: 0905.3450v3 · doi: 10.48550/arxiv.0905.3450 · pith_short_12: 2H25ZMQ2KS74 · pith_short_16: 2H25ZMQ2KS74AYIW · pith_short_8: 2H25ZMQ2

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/2H25ZMQ2KS74AYIWOBZPAW7MPE \
  | 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: d1f5dcb21a54bfc061167072f05bec792efa45abe97f3d2cf4b1540214f7b484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1054b1156bb4bc1faad9737e652c9afd35bed0cfe791f458786d34c55c815c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2009-05-21T07:54:02Z",
    "title_canon_sha256": "35b4355bd951f44bfb7c2a6861ec3d8cba05d969045f094f789ea7359daa4660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3450",
    "kind": "arxiv",
    "version": 3
  }
}