Pith Number

pith:ULRWWO5O

pith:2013:ULRWWO5OUC7NWZ4L67PIDKZJY4

not attested not anchored not stored refs pending

Rumor processes in random environment on N and on Galton-Watson trees

Daniela Bertacchi, Fabio Zucca

arxiv:1305.6802 v1 · 2013-05-29 · 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{ULRWWO5OUC7NWZ4L67PIDKZJY4}

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	2026-05-18T01:49:40.239494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e36b3baea0bedb678bf7de81ab29c706c754697ebc938f1bfc82d4fec9f9ca

Aliases

arxiv: 1305.6802 · arxiv_version: 1305.6802v1 · doi: 10.48550/arxiv.1305.6802 · pith_short_12: ULRWWO5OUC7N · pith_short_16: ULRWWO5OUC7NWZ4L · pith_short_8: ULRWWO5O

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/ULRWWO5OUC7NWZ4L67PIDKZJY4 \
  | 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: a2e36b3baea0bedb678bf7de81ab29c706c754697ebc938f1bfc82d4fec9f9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ede65a2cf8f6581e0d0d3872ec1ef9fd115ed82454ff5c77d8c5b9f09e6d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-29T13:53:07Z",
    "title_canon_sha256": "dbc06c2c7ec0767d29966bb71a4f42e3c6f3b9ebb8622c6580bca8634d9ac927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6802",
    "kind": "arxiv",
    "version": 1
  }
}