Pith Number

pith:MBDCWMLS

pith:2014:MBDCWMLSLAPWW2EYDRVNEYEWCQ

not attested not anchored not stored refs pending

Critical Controlled Branching Processes and Their Relatives

George P. Yanev

arxiv:1411.6045 v1 · 2014-11-21 · 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{MBDCWMLSLAPWW2EYDRVNEYEWCQ}

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	2026-05-18T02:33:00.747841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60462b3172581f6b68981c6ad26096143ecfc26493595e3aed30e79adb1c9d79

Aliases

arxiv: 1411.6045 · arxiv_version: 1411.6045v1 · doi: 10.48550/arxiv.1411.6045 · pith_short_12: MBDCWMLSLAPW · pith_short_16: MBDCWMLSLAPWW2EY · pith_short_8: MBDCWMLS

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/MBDCWMLSLAPWW2EYDRVNEYEWCQ \
  | 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: 60462b3172581f6b68981c6ad26096143ecfc26493595e3aed30e79adb1c9d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d471fed89f77071d39f23baf25fe05c8e7a4ffbfd867008f0b83af8083946c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-21T22:56:05Z",
    "title_canon_sha256": "13f09d84c2dfa0568e982cdc86e9936bf883cb4ca39c6835daf06b1d89a51cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6045",
    "kind": "arxiv",
    "version": 1
  }
}