Pith Number

pith:UTX6BNHE

pith:2026:UTX6BNHEP5WHBN4Q7KCILYYIK5

not attested not anchored not stored refs pending

A joint voxel flow-phase field framework for ultra-long microstructure evolution prediction with physical regularization

Ao Zhou, Chi Chen, Salma Zahran, Yanming Wang, Zhengyang Zhang

arxiv:2601.04898 v2 · 2026-01-08 · physics.comp-ph · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTX6BNHEP5WHBN4Q7KCILYYIK5}

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	2026-06-24T01:14:24.717752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4efe0b4e47f6c70b790fa8485e308576a2738970406db46dc276bf6bfe86e0e

Aliases

arxiv: 2601.04898 · arxiv_version: 2601.04898v2 · doi: 10.48550/arxiv.2601.04898 · pith_short_12: UTX6BNHEP5WH · pith_short_16: UTX6BNHEP5WHBN4Q · pith_short_8: UTX6BNHE

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/UTX6BNHEP5WHBN4Q7KCILYYIK5 \
  | 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: a4efe0b4e47f6c70b790fa8485e308576a2738970406db46dc276bf6bfe86e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede4321f499980f5668802ddf2d44ddbadbc3352df1eddc976ec08ed1ee3b822",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-01-08T12:53:14Z",
    "title_canon_sha256": "223a366de036dc6cd02c925874a0fb2742aadbc44dc0bbb7c0c444aadeca92a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04898",
    "kind": "arxiv",
    "version": 2
  }
}