Pith Number

pith:KR2GGJSA

pith:2009:KR2GGJSAEYO52AJ322EMSSGH63

not attested not anchored not stored refs pending

Laplacian growth in the half plane

A. Zabrodin, D. Vasiliev

arxiv:0912.4901 v1 · 2009-12-24 · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KR2GGJSAEYO52AJ322EMSSGH63}

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	2026-05-18T02:40:02.486651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5474632640261ddd013bd688c948c7f6c1c7e2ec1a749ca8308cd4a64d691111

Aliases

arxiv: 0912.4901 · arxiv_version: 0912.4901v1 · doi: 10.48550/arxiv.0912.4901 · pith_short_12: KR2GGJSAEYO5 · pith_short_16: KR2GGJSAEYO52AJ3 · pith_short_8: KR2GGJSA

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/KR2GGJSAEYO52AJ322EMSSGH63 \
  | 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: 5474632640261ddd013bd688c948c7f6c1c7e2ec1a749ca8308cd4a64d691111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f47fa4ce581e87480521c3f2a9c13e9c5a2ba4ee727cd089c4e7c729a446e5",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-24T20:34:50Z",
    "title_canon_sha256": "bb686304cd36ea6486465633c09f9cc8ea55ccd82f352955eba85b6c2c8d05ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4901",
    "kind": "arxiv",
    "version": 1
  }
}