Pith Number

pith:H7QHSXJP

pith:2010:H7QHSXJPWTXOPJU4A4BP2YP2GE

not attested not anchored not stored refs pending

Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential

Erik Lundberg

arxiv:1009.5159 v1 · 2010-09-27 · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7QHSXJPWTXOPJU4A4BP2YP2GE}

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	2026-05-18T02:05:17.025034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe0795d2fb4eee7a69c0702fd61fa313ab518e2db84c95f80fab4dcf4458419

Aliases

arxiv: 1009.5159 · arxiv_version: 1009.5159v1 · doi: 10.48550/arxiv.1009.5159 · pith_short_12: H7QHSXJPWTXO · pith_short_16: H7QHSXJPWTXOPJU4 · pith_short_8: H7QHSXJP

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/H7QHSXJPWTXOPJU4A4BP2YP2GE \
  | 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: 3fe0795d2fb4eee7a69c0702fd61fa313ab518e2db84c95f80fab4dcf4458419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9cb56afead60b74431ab35a536971d39d8bcc95d0fc86538532c3cf3b20aeb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-27T04:47:03Z",
    "title_canon_sha256": "d5aa816d013533a6ea3c7ba5a90e95e1ecff0f22d858cd3516975a990dc65f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5159",
    "kind": "arxiv",
    "version": 1
  }
}