Pith Number

pith:J6HVLMIC

pith:2008:J6HVLMICH46URBFTSSTU32UDLE

not attested not anchored not stored refs pending

Regularity, asymptotic behavior and partial uniqueness for Smoluchowski's coagulation equation

Jos\'e Alfredo Ca\~nizo, St\'ephane Mischler

arxiv:0803.1462 v2 · 2008-03-10 · math-ph · 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{J6HVLMICH46URBFTSSTU32UDLE}

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	2026-05-18T04:06:56.979675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8f55b1023f3d4884b394a74dea835920d1d2b77e618f5f787faae26ddcf96d

Aliases

arxiv: 0803.1462 · arxiv_version: 0803.1462v2 · doi: 10.48550/arxiv.0803.1462 · pith_short_12: J6HVLMICH46U · pith_short_16: J6HVLMICH46URBFT · pith_short_8: J6HVLMIC

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/J6HVLMICH46URBFTSSTU32UDLE \
  | 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: 4f8f55b1023f3d4884b394a74dea835920d1d2b77e618f5f787faae26ddcf96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e650a0534e3b566ce42e5f0d7be8d7243da081f4c67118b03659feefd3640824",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-03-10T17:45:51Z",
    "title_canon_sha256": "2b38f0f2772e072d075f31f2ca1d7ab325e9b9dca7315f863d1d7625589fd823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1462",
    "kind": "arxiv",
    "version": 2
  }
}