Pith Number

pith:ABFPUCPN

pith:2016:ABFPUCPNL5YXRQLBDB2POGK36N

not attested not anchored not stored refs pending

Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment

Lo\"ic de Raph\'elis

arxiv:1608.07061 v2 · 2016-08-25 · 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{ABFPUCPNL5YXRQLBDB2POGK36N}

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	2026-05-17T23:48:17.716842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf

Aliases

arxiv: 1608.07061 · arxiv_version: 1608.07061v2 · doi: 10.48550/arxiv.1608.07061 · pith_short_12: ABFPUCPNL5YX · pith_short_16: ABFPUCPNL5YXRQLB · pith_short_8: ABFPUCPN

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/ABFPUCPNL5YXRQLBDB2POGK36N \
  | 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: 004afa09ed5f7178c1611874f7195bf3556799d5bdbdc78e6ebad73cad8b6aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3db3dc4be9492e5ba78a258f96cc19747aefaec835e82ab51b2726ca6f028a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-25T09:24:03Z",
    "title_canon_sha256": "9e1c2b1bd9c85e82827b89f14636137135287a4ea4dc4ef017afe7f7761823b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07061",
    "kind": "arxiv",
    "version": 2
  }
}