Pith Number

pith:4ZYM4PZI

pith:2010:4ZYM4PZICWPHLZAOMT4RVHY5RR

not attested not anchored not stored refs pending

Perturbation theorems for Hele-Shaw flows and their applications

Yu-Lin Lin

arxiv:1005.3892 v1 · 2010-05-21 · 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{4ZYM4PZICWPHLZAOMT4RVHY5RR}

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	2026-05-18T02:07:15.895199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e670ce3f28159e75e40e64f91a9f1d8c5e06e5fd09880d34120403b9218cef23

Aliases

arxiv: 1005.3892 · arxiv_version: 1005.3892v1 · doi: 10.48550/arxiv.1005.3892 · pith_short_12: 4ZYM4PZICWPH · pith_short_16: 4ZYM4PZICWPHLZAO · pith_short_8: 4ZYM4PZI

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/4ZYM4PZICWPHLZAOMT4RVHY5RR \
  | 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: e670ce3f28159e75e40e64f91a9f1d8c5e06e5fd09880d34120403b9218cef23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6548edb3f9af07406b011022b62405c5d3b5aa9a60f2b823e40e5497835fc0f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-21T06:53:24Z",
    "title_canon_sha256": "ca7d75882007827957ab6ebbabcce086a3624a4110836ca98d1a25e0c30dfbe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3892",
    "kind": "arxiv",
    "version": 1
  }
}