Pith Number

pith:Y7LBFAY4

pith:2011:Y7LBFAY47O5QC4VWN7XKHZ5Q7E

not attested not anchored not stored refs pending

Branching diffusion in inhomogeneous media

Leonid Koralov

arxiv:1107.1159 v2 · 2011-07-06 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7LBFAY47O5QC4VWN7XKHZ5Q7E}

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	2026-05-18T04:14:56.425334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d612831cfbbb0172b66feea3e7b0f93c319c80ec5faed30bde740be11f181b

Aliases

arxiv: 1107.1159 · arxiv_version: 1107.1159v2 · doi: 10.48550/arxiv.1107.1159 · pith_short_12: Y7LBFAY47O5Q · pith_short_16: Y7LBFAY47O5QC4VW · pith_short_8: Y7LBFAY4

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/Y7LBFAY47O5QC4VWN7XKHZ5Q7E \
  | 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: c7d612831cfbbb0172b66feea3e7b0f93c319c80ec5faed30bde740be11f181b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48dcc7e6af29a56a7cf14c79ebac23ab619bfd8f71f34c8a9f5187d6c5107bb7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-06T15:28:46Z",
    "title_canon_sha256": "74c2f49c390d26eb441bae4040f61f1756eeff91b7a2da53a6754b9c05e9c1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1159",
    "kind": "arxiv",
    "version": 2
  }
}