Pith Number

pith:ZM3VJAEJ

pith:2026:ZM3VJAEJ7JMU2VDPPSAW5BXRMC

not attested not anchored not stored refs pending

Machine Learning Compatible CALPHAD-type Optimization from Phase Equilibria by Auto-differentiation

Jean-Claude Crivello, Taichi Abe, Toshiyuki Koyama, Wenhao Zhang, Yusuke Matsuoka

arxiv:2608.00516 v1 · 2026-08-01 · 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{ZM3VJAEJ7JMU2VDPPSAW5BXRMC}

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	2026-08-04T00:37:06.048565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb37548089fa594d546f7c816e86f160a2385173de6bf8f9ddbf50a7e96ed562

Aliases

arxiv: 2608.00516 · arxiv_version: 2608.00516v1 · doi: 10.48550/arxiv.2608.00516 · pith_short_12: ZM3VJAEJ7JMU · pith_short_16: ZM3VJAEJ7JMU2VDP · pith_short_8: ZM3VJAEJ

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/ZM3VJAEJ7JMU2VDPPSAW5BXRMC \
  | 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: cb37548089fa594d546f7c816e86f160a2385173de6bf8f9ddbf50a7e96ed562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626aad768605d97281051146c6b93664882b350ed27813977f6a245d4215bebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-08-01T08:26:41Z",
    "title_canon_sha256": "d1829442e13204f0908d4c103195a6b7c5f7a687948df6f806c02f9ffc0baf10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00516",
    "kind": "arxiv",
    "version": 1
  }
}