Pith Number

pith:2K5NTXSP

pith:2013:2K5NTXSPGBOOZ4C53DXIIQAWLM

not attested not anchored not stored refs pending

Moment asymptotics for multitype branching random walks in random environment

Onur G\"un, Ozren Sekulovi\'c, Wolfgang K\"onig

arxiv:1310.7770 v1 · 2013-10-29 · 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{2K5NTXSPGBOOZ4C53DXIIQAWLM}

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	2026-05-18T03:08:27.997242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2bad9de4f305cecf05dd8ee8440165b35ba8bd78ef0a66e89e203d8aa6dd4fe

Aliases

arxiv: 1310.7770 · arxiv_version: 1310.7770v1 · doi: 10.48550/arxiv.1310.7770 · pith_short_12: 2K5NTXSPGBOO · pith_short_16: 2K5NTXSPGBOOZ4C5 · pith_short_8: 2K5NTXSP

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/2K5NTXSPGBOOZ4C53DXIIQAWLM \
  | 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: d2bad9de4f305cecf05dd8ee8440165b35ba8bd78ef0a66e89e203d8aa6dd4fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13eddc1ae90b511f9fb7091f4f8372312ce4e8be804cff953069b4035ea8177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-29T12:00:46Z",
    "title_canon_sha256": "c1eb9cd362c52ec3cdc9065549786f7ad39d196764d50729240cfd68a5c0f027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7770",
    "kind": "arxiv",
    "version": 1
  }
}