Pith Number

pith:ZUT5OZXX

pith:2026:ZUT5OZXXBYZUV5ELXOLQPUHC2O

not attested not anchored not stored refs pending

Well-posedness of a Hele-Shaw problem in general dimensions

Olga Turanova, Yuming Paul Zhang

arxiv:2607.20395 v1 · 2026-07-22 · 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{ZUT5OZXXBYZUV5ELXOLQPUHC2O}

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	2026-07-23T01:25:18.913661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd27d766f70e334af48bbb9707d0e2d381b1f20986665b6476be0449cd3741f2

Aliases

arxiv: 2607.20395 · arxiv_version: 2607.20395v1 · doi: 10.48550/arxiv.2607.20395 · pith_short_12: ZUT5OZXXBYZU · pith_short_16: ZUT5OZXXBYZUV5EL · pith_short_8: ZUT5OZXX

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/ZUT5OZXXBYZUV5ELXOLQPUHC2O \
  | 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: cd27d766f70e334af48bbb9707d0e2d381b1f20986665b6476be0449cd3741f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7a8478c6361f4e4e6565b9dd2f4178b1ddcb1c4474355a3752612802f746a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-22T17:32:12Z",
    "title_canon_sha256": "6cf459a6aa1e6e3747625a8f512e695335752ffde6640d1d5b60cd369c84beba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20395",
    "kind": "arxiv",
    "version": 1
  }
}