Pith Number

pith:UAOFQDDX

pith:2026:UAOFQDDXGAMBEOIBVBNB3P3ULJ

not attested not anchored not stored refs pending

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach

Alice Xu, Ang Li, Panos Stinis, Shenyang Hu, Yulan Li, Yuyan Shao, Zirui Mao

arxiv:2607.25142 v1 · 2026-07-27 · math.NA · cs.NA · 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{UAOFQDDXGAMBEOIBVBNB3P3ULJ}

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	2026-07-29T00:25:05.108810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01c580c773018123901a85a1dbf745a47b03fdafa3eb4a7525b796d0dc0202d

Aliases

arxiv: 2607.25142 · arxiv_version: 2607.25142v1 · doi: 10.48550/arxiv.2607.25142 · pith_short_12: UAOFQDDXGAMB · pith_short_16: UAOFQDDXGAMBEOIB · pith_short_8: UAOFQDDX

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/UAOFQDDXGAMBEOIBVBNB3P3ULJ \
  | 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: a01c580c773018123901a85a1dbf745a47b03fdafa3eb4a7525b796d0dc0202d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9382ca6083a522f6e50cc2bcef6e67dd0549c3bb9ebb202e79eeea84ae93396a",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-27T23:27:55Z",
    "title_canon_sha256": "4c6fa54e6156177447c51e92f01f68743e2faf6a797a8f478285d0b09357793c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25142",
    "kind": "arxiv",
    "version": 1
  }
}