Pith Number

pith:2Z7X2OTA

pith:2012:2Z7X2OTAQBCHI67QWVYMDSBTXJ

not attested not anchored not stored refs pending

The singular kernel coagulation equation with multifragmentation

Carlos Cueto Camejo, Gerald Warnecke

arxiv:1210.1571 v3 · 2012-10-04 · 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{2Z7X2OTAQBCHI67QWVYMDSBTXJ}

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	2026-05-18T03:08:38.337743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67f7d3a608044747bf0b570c1c833ba57cdf070cdbdf9df964c7297b4b5e345

Aliases

arxiv: 1210.1571 · arxiv_version: 1210.1571v3 · doi: 10.48550/arxiv.1210.1571 · pith_short_12: 2Z7X2OTAQBCH · pith_short_16: 2Z7X2OTAQBCHI67Q · pith_short_8: 2Z7X2OTA

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/2Z7X2OTAQBCHI67QWVYMDSBTXJ \
  | 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: d67f7d3a608044747bf0b570c1c833ba57cdf070cdbdf9df964c7297b4b5e345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e66684cb16a88ca131d1c199d6f057044862bf7e1ec7b6b68efae3ece389dd8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-04T15:57:50Z",
    "title_canon_sha256": "f6731f34fbdfb3945d677a7bc7d653e2d6759b7f057d6ff823f595d2b48b134f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1571",
    "kind": "arxiv",
    "version": 3
  }
}