Pith Number

pith:IL5PB52Z

pith:2015:IL5PB52Z7HFPPMBB2VC4K5VMYZ

not attested not anchored not stored refs pending

Stochastic equation of fragmentation and branching processes related to avalanches

Lucian Beznea, Madalina Deaconu, Oana Lupascu

arxiv:1508.00361 v1 · 2015-08-03 · 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{IL5PB52Z7HFPPMBB2VC4K5VMYZ}

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	2026-05-18T01:20:45.617682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42faf0f759f9caf7b021d545c576acc6721cbe0efc1b02e7897b6a40bf95ccc7

Aliases

arxiv: 1508.00361 · arxiv_version: 1508.00361v1 · doi: 10.48550/arxiv.1508.00361 · pith_short_12: IL5PB52Z7HFP · pith_short_16: IL5PB52Z7HFPPMBB · pith_short_8: IL5PB52Z

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/IL5PB52Z7HFPPMBB2VC4K5VMYZ \
  | 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: 42faf0f759f9caf7b021d545c576acc6721cbe0efc1b02e7897b6a40bf95ccc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d0b09802b4c9eeec5c8f3f739ccd9697130ffc8346bcccb286e88cfcaca258",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-03T09:59:11Z",
    "title_canon_sha256": "bda882defde07739ce98a0da183605cfeb00a6db0cab3ac83e2c06e710dbf7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00361",
    "kind": "arxiv",
    "version": 1
  }
}