Pith Number

pith:DQKMXMKC

pith:2012:DQKMXMKCTX27COLG3PLMK3O62Z

not attested not anchored not stored refs pending

Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes

Gautam Iyer, Nicholas Leger, Robert L. Pego

arxiv:1212.6451 v3 · 2012-12-28 · math.PR · 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{DQKMXMKCTX27COLG3PLMK3O62Z}

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	2026-05-18T02:22:30.235931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c14cbb1429df5f13966dbd6c56dded643785170b79348099e924bb8bdfe3b0d

Aliases

arxiv: 1212.6451 · arxiv_version: 1212.6451v3 · doi: 10.48550/arxiv.1212.6451 · pith_short_12: DQKMXMKCTX27 · pith_short_16: DQKMXMKCTX27COLG · pith_short_8: DQKMXMKC

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/DQKMXMKCTX27COLG3PLMK3O62Z \
  | 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: 1c14cbb1429df5f13966dbd6c56dded643785170b79348099e924bb8bdfe3b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b40cba213ad8f8dff8e2a8d7a3f3bf32302b8a6906388fc5be35f0b73f84701a",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-28T01:54:22Z",
    "title_canon_sha256": "dc3b3195c5beb1b551e30c120ab658946972506673a5e2b2b48679c9b583b6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6451",
    "kind": "arxiv",
    "version": 3
  }
}