Pith Number

pith:D4A2OCJB

pith:2009:D4A2OCJBHKWA2V5QXWDHU3DQTT

not attested not anchored not stored refs pending

Harmonic moment dynamics in Laplacian growth

Alexander Leshchiner, Harry L. Swinney, Mark B. Mineev-Weinstein, Matthew Thrasher

arxiv:0901.3128 v1 · 2009-01-20 · 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{D4A2OCJBHKWA2V5QXWDHU3DQTT}

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	2026-05-18T03:24:08.245125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f01a709213aac0d57b0bd867a6c709ce2035086ead2dbbfb56b79d4f443a22b

Aliases

arxiv: 0901.3128 · arxiv_version: 0901.3128v1 · doi: 10.48550/arxiv.0901.3128 · pith_short_12: D4A2OCJBHKWA · pith_short_16: D4A2OCJBHKWA2V5Q · pith_short_8: D4A2OCJB

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/D4A2OCJBHKWA2V5QXWDHU3DQTT \
  | 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: 1f01a709213aac0d57b0bd867a6c709ce2035086ead2dbbfb56b79d4f443a22b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfcb9bd73bbd76b3a5edb4948ef87b3229803504a4ae89a5493aa1409b8fc857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-01-20T19:51:03Z",
    "title_canon_sha256": "9e72d6ddecd6d1db2dd14d68bb0798c2776500600e4be2c0839f366282d404b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3128",
    "kind": "arxiv",
    "version": 1
  }
}