Pith Number

pith:T3BUXEW6

pith:2023:T3BUXEW6RRMSZ662QSNXGVXQGZ

not attested not anchored not stored refs pending

The Hele-Shaw semi-flow

Herbert Koch, Thomas Alazard

arxiv:2312.13678 v2 · 2023-12-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3BUXEW6RRMSZ662QSNXGVXQGZ}

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

4 papers in Pith

Global well-posedness for the Hele-Shaw problem with point injection

Global-in-time estimates for the 2D one-phase Muskat problem with contact points

A potential theory approach to the capillarity-driven Hele-Shaw problem

Global well-posedness for the Hele-Shaw problem with point injection

Receipt and verification

First computed	2026-07-05T12:06:58.075232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec34b92de8c592cfbda849b7356f0365723073fbcb89c4570766d84ecb26d3c

Aliases

arxiv: 2312.13678 · arxiv_version: 2312.13678v2 · doi: 10.48550/arxiv.2312.13678 · pith_short_12: T3BUXEW6RRMS · pith_short_16: T3BUXEW6RRMSZ662 · pith_short_8: T3BUXEW6

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/T3BUXEW6RRMSZ662QSNXGVXQGZ \
  | 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: 9ec34b92de8c592cfbda849b7356f0365723073fbcb89c4570766d84ecb26d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1587cea42808150476b9fbaf4c2f7fb7527cce9ae5a39050bb8ce16c713e4280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-21T09:00:34Z",
    "title_canon_sha256": "5ed2d21d92a924d8766accb83df7daceb72ba408bbdcdee63797d87db25dd6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13678",
    "kind": "arxiv",
    "version": 2
  }
}