Pith Number

pith:UYENY4LK

pith:2012:UYENY4LKSV62X4XRHGYFX7OVSA

not attested not anchored not stored refs pending

Branching diffusion in the super-critical regime

Leonid Koralov, Stanislav Molchanov

arxiv:1207.0202 v1 · 2012-07-01 · 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{UYENY4LKSV62X4XRHGYFX7OVSA}

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	2026-05-18T03:51:59.897881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a608dc716a957dabf2f139b05bfdd5902ae74a9f69cf637e044447a0c7a5d9f0

Aliases

arxiv: 1207.0202 · arxiv_version: 1207.0202v1 · doi: 10.48550/arxiv.1207.0202 · pith_short_12: UYENY4LKSV62 · pith_short_16: UYENY4LKSV62X4XR · pith_short_8: UYENY4LK

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/UYENY4LKSV62X4XRHGYFX7OVSA \
  | 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: a608dc716a957dabf2f139b05bfdd5902ae74a9f69cf637e044447a0c7a5d9f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac72facd0dcced186641a006a99514bbb64b1871a67ad1e3c4225b3f5228759d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-01T12:24:26Z",
    "title_canon_sha256": "cdf59cc5b59076e11bf1da66f6d2318a65d4d1155f2054e2cb5d0b86e7fb1d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0202",
    "kind": "arxiv",
    "version": 1
  }
}