Pith Number

pith:LL6JDCMB

pith:2014:LL6JDCMBDPTFXCSQLPITNYPETD

not attested not anchored not stored refs pending

Macroscopic and microscopic structures of the family tree for decomposable critical branching processes

Vladimir Vatutin

arxiv:1402.6819 v1 · 2014-02-27 · 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{LL6JDCMBDPTFXCSQLPITNYPETD}

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	2026-05-18T02:57:36.911038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afc9189811be65b8a505bd136e1e498c8ee9b5b9d1582c5c44b1802a8be62b5

Aliases

arxiv: 1402.6819 · arxiv_version: 1402.6819v1 · doi: 10.48550/arxiv.1402.6819 · pith_short_12: LL6JDCMBDPTF · pith_short_16: LL6JDCMBDPTFXCSQ · pith_short_8: LL6JDCMB

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/LL6JDCMBDPTFXCSQLPITNYPETD \
  | 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: 5afc9189811be65b8a505bd136e1e498c8ee9b5b9d1582c5c44b1802a8be62b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e8c03b2c9b32e67a99761a9457e518b900c2081b904a229ae8f86e72625f9f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-27T08:08:42Z",
    "title_canon_sha256": "92e6e184212888bfaa80415a89536e7fb9f4bd40c0631abaad335bad8ecd1534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6819",
    "kind": "arxiv",
    "version": 1
  }
}