Pith Number

pith:2US7EF6D

pith:2015:2US7EF6DC5DORA4G2P6QXUORZ3

not attested not anchored not stored refs pending

Convergence of martingale and moderate deviations for a branching random walk with a random environment in time

Chunmao Huang, Xiaoqiang Wang

arxiv:1504.01181 v1 · 2015-04-06 · 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{2US7EF6DC5DORA4G2P6QXUORZ3}

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	2026-05-18T02:19:34.985295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d525f217c31746e88386d3fd0bd1d1ced462779a97b8b0aed99056c2b7ad21a9

Aliases

arxiv: 1504.01181 · arxiv_version: 1504.01181v1 · doi: 10.48550/arxiv.1504.01181 · pith_short_12: 2US7EF6DC5DO · pith_short_16: 2US7EF6DC5DORA4G · pith_short_8: 2US7EF6D

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/2US7EF6DC5DORA4G2P6QXUORZ3 \
  | 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: d525f217c31746e88386d3fd0bd1d1ced462779a97b8b0aed99056c2b7ad21a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a379cbebf7b0ec7eabff55f3bc75fdf2ca05651bf9755c3c0fac2167b4dc57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-06T01:18:18Z",
    "title_canon_sha256": "fe67674c6c1e1f6f44f021d9d0ce471b050d9efdcf2a5d3bfe5bd63d0747b63c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01181",
    "kind": "arxiv",
    "version": 1
  }
}