Pith Number

pith:HPOV7M7M

pith:2025:HPOV7M7MPB7NMKVI3HPR6FRBQ6

not attested not anchored not stored refs pending

A Hele-Shaw problem with interior and free boundary oscillation: well-posedness and homogenization

Olga Turanova, Yuming Paul Zhang

arxiv:2508.13441 v1 · 2025-08-19 · 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{HPOV7M7MPB7NMKVI3HPR6FRBQ6}

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	2026-07-05T11:55:48.062124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdd5fb3ec787ed62aa8d9df1f16218781b5544ea72964e6350476c3e35625a9

Aliases

arxiv: 2508.13441 · arxiv_version: 2508.13441v1 · doi: 10.48550/arxiv.2508.13441 · pith_short_12: HPOV7M7MPB7N · pith_short_16: HPOV7M7MPB7NMKVI · pith_short_8: HPOV7M7M

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/HPOV7M7MPB7NMKVI3HPR6FRBQ6 \
  | 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: 3bdd5fb3ec787ed62aa8d9df1f16218781b5544ea72964e6350476c3e35625a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80d0f89c69cb7a9ecf4a0b5d976de1c34e3b7bc3258ce7e5eb1de3669e10b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-19T01:49:40Z",
    "title_canon_sha256": "d368cde5ff5df9b033634d4a4f240b9eea6f4c34ec348e7ae80a8f186f804ce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13441",
    "kind": "arxiv",
    "version": 1
  }
}