Pith Number

pith:BVAIKUZB

pith:2013:BVAIKUZBVKKA6BCIFKTLCFFJWG

not attested not anchored not stored refs pending

Exactly Solvable BCS-BEC crossover Hamiltonians

Andrew Birrell, Jon Links, Phillip S. Isaac

arxiv:1303.1611 v1 · 2013-03-07 · nlin.SI · 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{BVAIKUZBVKKA6BCIFKTLCFFJWG}

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	2026-05-18T03:31:42.154783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d40855321aa940f04482aa6b114a9b19e45c7919ccbbd200d475742ffbd4803

Aliases

arxiv: 1303.1611 · arxiv_version: 1303.1611v1 · doi: 10.48550/arxiv.1303.1611 · pith_short_12: BVAIKUZBVKKA · pith_short_16: BVAIKUZBVKKA6BCI · pith_short_8: BVAIKUZB

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/BVAIKUZBVKKA6BCIFKTLCFFJWG \
  | 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: 0d40855321aa940f04482aa6b114a9b19e45c7919ccbbd200d475742ffbd4803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e503742d6e44199173ed217a36fe2c3b4e8de8c64fcc7e5b58e3e350b45120f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-03-07T06:30:40Z",
    "title_canon_sha256": "330547b67d04e372e3ff1f17fd54baa9040d62adcccdaf38ef64202c1885277f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1611",
    "kind": "arxiv",
    "version": 1
  }
}