Pith Number

pith:ZCT2WYRS

pith:2012:ZCT2WYRSUYNAVPCMX6X7DQDMZN

not attested not anchored not stored refs pending

Some limit theorems for flows of branching processes

Hui He, Rugang Ma

arxiv:1204.1248 v1 · 2012-04-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCT2WYRSUYNAVPCMX6X7DQDMZN}

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	2026-05-18T03:58:27.096613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a7ab6232a61a0abc4cbfaff1c06ccb6137a12a03f2d9e0ff5deeb6e81a0834

Aliases

arxiv: 1204.1248 · arxiv_version: 1204.1248v1 · doi: 10.48550/arxiv.1204.1248 · pith_short_12: ZCT2WYRSUYNA · pith_short_16: ZCT2WYRSUYNAVPCM · pith_short_8: ZCT2WYRS

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/ZCT2WYRSUYNAVPCMX6X7DQDMZN \
  | 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: c8a7ab6232a61a0abc4cbfaff1c06ccb6137a12a03f2d9e0ff5deeb6e81a0834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548857bd68fce3ac81445b54d8a9cbb4ff492541d947a1ff381ba7df571873a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-05T14:56:22Z",
    "title_canon_sha256": "3a90e1d889cce28966f4f3c49dfcfc71ceb15fb6391883ac1e8e6195237bafbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1248",
    "kind": "arxiv",
    "version": 1
  }
}