Pith Number

pith:6O7CPOSJ

pith:2016:6O7CPOSJOWMYIY6OB5Y4QBNRPD

not attested not anchored not stored refs pending

Long-range charge order in the extended Holstein--Hubbard model

Tadahiro Miyao

arxiv:1601.00765 v3 · 2016-01-05 · 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{6O7CPOSJOWMYIY6OB5Y4QBNRPD}

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	2026-05-18T01:02:45.234789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3be27ba4975998463ce0f71c805b178e0e7d7a373593a99ab118c2f3d32e183

Aliases

arxiv: 1601.00765 · arxiv_version: 1601.00765v3 · doi: 10.48550/arxiv.1601.00765 · pith_short_12: 6O7CPOSJOWMY · pith_short_16: 6O7CPOSJOWMYIY6O · pith_short_8: 6O7CPOSJ

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/6O7CPOSJOWMYIY6OB5Y4QBNRPD \
  | 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: f3be27ba4975998463ce0f71c805b178e0e7d7a373593a99ab118c2f3d32e183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bd4cc880a8be0f813552727c5db4c8738092f1604ac51cdeb99b136b510734",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-05T08:25:46Z",
    "title_canon_sha256": "684fd4403d350a2d4a1e9128e85d70eda6719f50cd14648e07846a4ac03c1fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00765",
    "kind": "arxiv",
    "version": 3
  }
}