Pith Number

pith:AX76JWFN

pith:2011:AX76JWFNOSLY63XT7USZCOIFYN

not attested not anchored not stored refs pending

On the dynamics of roots and poles for solutions of the Polubarinova-Galin equation

Bj\"orn Gustafsson, Yu-Lin Lin

arxiv:1112.0133 v1 · 2011-12-01 · math.CV · math-ph · 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{AX76JWFNOSLY63XT7USZCOIFYN}

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	2026-05-18T04:07:16.853495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ffe4d8ad74978f6ef3fd25913905c375a91d10ab862d94286e579dd927f942

Aliases

arxiv: 1112.0133 · arxiv_version: 1112.0133v1 · doi: 10.48550/arxiv.1112.0133 · pith_short_12: AX76JWFNOSLY · pith_short_16: AX76JWFNOSLY63XT · pith_short_8: AX76JWFN

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/AX76JWFNOSLY63XT7USZCOIFYN \
  | 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: 05ffe4d8ad74978f6ef3fd25913905c375a91d10ab862d94286e579dd927f942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f7b3519c799a237edd247f7a63209ccb74490cf4b6f299dda995ec9caf6941d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-01T10:46:06Z",
    "title_canon_sha256": "ddd5b324a554614a805e786e47517729f7bf1ec1d1cd6e396fda45e4b16c0c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0133",
    "kind": "arxiv",
    "version": 1
  }
}