Pith Number

pith:QY4DG75R

pith:2015:QY4DG75RBXYPODIHO5YIK7NAEK

not attested not anchored not stored refs pending

An exponential estimate for the extinction time of the branching random walk on a cube

Viktor Bezborodov

arxiv:1512.02966 v2 · 2015-12-09 · 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{QY4DG75RBXYPODIHO5YIK7NAEK}

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	2026-05-18T01:24:06.325118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8638337fb10df0f70d077770857da022a3b87bdab2366859b8a7d1d709b796e7

Aliases

arxiv: 1512.02966 · arxiv_version: 1512.02966v2 · doi: 10.48550/arxiv.1512.02966 · pith_short_12: QY4DG75RBXYP · pith_short_16: QY4DG75RBXYPODIH · pith_short_8: QY4DG75R

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/QY4DG75RBXYPODIHO5YIK7NAEK \
  | 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: 8638337fb10df0f70d077770857da022a3b87bdab2366859b8a7d1d709b796e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e547859366bafe70e2689864b27ed1d91a53321f5d5c60961f33f96107d2fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-09T17:48:21Z",
    "title_canon_sha256": "839848e24ca955614a56869076357ceaebb075eb0ad7790a625620df8fc851c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02966",
    "kind": "arxiv",
    "version": 2
  }
}