Pith Number

pith:UHTFFXOS

pith:2026:UHTFFXOSP4RFVQBBPABBJHB7SS

not attested not anchored not stored refs pending

Mathematical crystal chemistry: A formal theory for crystal structure prediction by generalized disjunctive programming

Ryotaro Koshoji

arxiv:2606.07927 v1 · 2026-06-06 · math-ph · cond-mat.mtrl-sci · 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{UHTFFXOSP4RFVQBBPABBJHB7SS}

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	2026-06-09T01:04:55.597275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e652ddd27f225ac0217802149c3f94a27754af26953b7a023fb29930bcb6b3

Aliases

arxiv: 2606.07927 · arxiv_version: 2606.07927v1 · doi: 10.48550/arxiv.2606.07927 · pith_short_12: UHTFFXOSP4RF · pith_short_16: UHTFFXOSP4RFVQBB · pith_short_8: UHTFFXOS

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/UHTFFXOSP4RFVQBBPABBJHB7SS \
  | 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: a1e652ddd27f225ac0217802149c3f94a27754af26953b7a023fb29930bcb6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4484f767fd09f3348be878f9336808c1ab6d73d0d4b94e880693a5de4659e5d1",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-06T01:32:34Z",
    "title_canon_sha256": "b7557c8bd62654ceae2b8c81b85ab96ffe60091c5a79b80e39a17e050c373900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07927",
    "kind": "arxiv",
    "version": 1
  }
}