Pith Number

pith:4HCDXU5I

pith:2014:4HCDXU5ILD4P6L3W3YSRNW5NIO

not attested not anchored not stored refs pending

Non-univalent solutions of the Polubarinova-Galin equation

Bj\"orn Gustafsson, Yu-Lin Lin

arxiv:1411.1909 v1 · 2014-11-07 · 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{4HCDXU5ILD4P6L3W3YSRNW5NIO}

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.

Cited by

1 paper in Pith

Analysis of Log-Weighted Quadrature Domains

Receipt and verification

First computed	2026-05-18T02:38:20.223571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c43bd3a858f8ff2f76de2516dbad43a3d7a43c763d2990ed61247ad797dd69

Aliases

arxiv: 1411.1909 · arxiv_version: 1411.1909v1 · doi: 10.48550/arxiv.1411.1909 · pith_short_12: 4HCDXU5ILD4P · pith_short_16: 4HCDXU5ILD4P6L3W · pith_short_8: 4HCDXU5I

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/4HCDXU5ILD4P6L3W3YSRNW5NIO \
  | 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: e1c43bd3a858f8ff2f76de2516dbad43a3d7a43c763d2990ed61247ad797dd69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6030678e98ef67eaa33c3694dc755640de32d389618f05847e285b69c78802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-07T13:32:36Z",
    "title_canon_sha256": "111acd4dd52daff00c24917f675c459086fd65679b99ab8a839b518b912e5a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1909",
    "kind": "arxiv",
    "version": 1
  }
}