Pith Number

pith:BRYRBULZ

pith:2015:BRYRBULZ4HZPCU5DTADWGF56PO

not attested not anchored not stored refs pending

Continuity estimates for the complex cascade model on the phase boundary

R\'emi Rhodes, Thomas Madaule, Vincent Vargas

arxiv:1502.05655 v1 · 2015-02-19 · 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{BRYRBULZ4HZPCU5DTADWGF56PO}

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	2026-05-18T02:26:45.896381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7110d179e1f2f153a398076317be7babb1aa9d194dd3558e431fcdcd34ceb3

Aliases

arxiv: 1502.05655 · arxiv_version: 1502.05655v1 · doi: 10.48550/arxiv.1502.05655 · pith_short_12: BRYRBULZ4HZP · pith_short_16: BRYRBULZ4HZPCU5D · pith_short_8: BRYRBULZ

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/BRYRBULZ4HZPCU5DTADWGF56PO \
  | 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: 0c7110d179e1f2f153a398076317be7babb1aa9d194dd3558e431fcdcd34ceb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf5ac0e188ad788941ed2b627f7994827d6acd185b40452d70f3babfe44187d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-19T18:02:47Z",
    "title_canon_sha256": "812fd2f708b0bf4e0a13c9804d25746c36f40fd1d21a810b95649adc21382fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05655",
    "kind": "arxiv",
    "version": 1
  }
}