Pith Number

pith:PUBC2LSI

pith:1999:PUBC2LSID5TG4QHOCA4UNLFSZS

not attested not anchored not stored refs pending

Laplacian Growth I: Finger Competition and Formation of a Single Saffman-Taylor Finger without Surface Tension: An Exact Result

Mark Mineev-Weinstein, Oleg Kupervasser

arxiv:patt-sol/9902007 v5 · 1999-02-18 · patt-sol · nlin.CD · 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{PUBC2LSID5TG4QHOCA4UNLFSZS}

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	2026-05-18T02:55:39.769902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d022d2e481f666e40ee103946acb2ccb951c8df11bf3045a17ea49b326eb860

Aliases

arxiv: patt-sol/9902007 · arxiv_version: patt-sol/9902007v5 · doi: 10.48550/arxiv.patt-sol/9902007 · pith_short_12: PUBC2LSID5TG · pith_short_16: PUBC2LSID5TG4QHO · pith_short_8: PUBC2LSI

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/PUBC2LSID5TG4QHOCA4UNLFSZS \
  | 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: 7d022d2e481f666e40ee103946acb2ccb951c8df11bf3045a17ea49b326eb860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c432d83d199a9dbc0ad79ba0b63a3b56ac2ef686261e02520b98b0601b163f1",
    "cross_cats_sorted": [
      "nlin.CD",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "patt-sol",
    "submitted_at": "1999-02-18T06:47:27Z",
    "title_canon_sha256": "895e5eba273516e6d2a8eb1781f82bcc79195153736db89e69e58a5a3d2e7826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9902007",
    "kind": "arxiv",
    "version": 5
  }
}