Pith Number

pith:PCYCCJEF

pith:2013:PCYCCJEFE4HKNQ2C5IGPZ4LDQ4

not attested not anchored not stored refs pending

Classification of degree three polynomial solutions to the Polubarinova-Galin equation

Yu-Lin Lin

arxiv:1309.4937 v1 · 2013-09-19 · math-ph · math.CV · 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{PCYCCJEFE4HKNQ2C5IGPZ4LDQ4}

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	2026-05-18T03:12:56.875860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b0212485270ea6c342ea0cfcf163873383c7b8f2710a4f40f59b89c27f1295

Aliases

arxiv: 1309.4937 · arxiv_version: 1309.4937v1 · doi: 10.48550/arxiv.1309.4937 · pith_short_12: PCYCCJEFE4HK · pith_short_16: PCYCCJEFE4HKNQ2C · pith_short_8: PCYCCJEF

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/PCYCCJEFE4HKNQ2C5IGPZ4LDQ4 \
  | 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: 78b0212485270ea6c342ea0cfcf163873383c7b8f2710a4f40f59b89c27f1295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77695fa42bd3a0f1228fd5fd86f957c4447ef3a1309f1be2907db4022aa3050",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-19T11:28:06Z",
    "title_canon_sha256": "57c8c265caae633b4cd759bab6c4a26d410a7dd9e6997ab7f47dd56a8a4ff283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4937",
    "kind": "arxiv",
    "version": 1
  }
}