Pith Number

pith:4UZ7QN6B

pith:2012:4UZ7QN6BFVTLG24AJGFLVMMKQB

not attested not anchored not stored refs pending

Branching Brownian motion in strip: survival near criticality

Andreas E. Kyprianou, Marion Hesse, Simon Harris

arxiv:1212.1444 v1 · 2012-12-06 · 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{4UZ7QN6BFVTLG24AJGFLVMMKQB}

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	2026-05-18T03:39:03.958238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e533f837c12d66b36b80498abab18a807cdb60067b4bd2d47420fa813c258119

Aliases

arxiv: 1212.1444 · arxiv_version: 1212.1444v1 · doi: 10.48550/arxiv.1212.1444 · pith_short_12: 4UZ7QN6BFVTL · pith_short_16: 4UZ7QN6BFVTLG24A · pith_short_8: 4UZ7QN6B

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/4UZ7QN6BFVTLG24AJGFLVMMKQB \
  | 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: e533f837c12d66b36b80498abab18a807cdb60067b4bd2d47420fa813c258119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d822ed97ab1e2d8070ec9917d46023ef47f5b68c0be849e6578c6baee5a9ae67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-06T20:51:51Z",
    "title_canon_sha256": "bcc8ba983e9c4e568317ed400d340d530877347c21153b3ddf839f7d2cf2c5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1444",
    "kind": "arxiv",
    "version": 1
  }
}