Pith Number

pith:PHGZJE3J

pith:2000:PHGZJE3J47FJYAJC4EWCDD3ZPU

not attested not anchored not stored refs pending

BEC for a Coupled Two-type Hard Core Bosons Model

Andre Verbeure, Joris Lauwers

arxiv:math-ph/0003021 v2 · 2000-03-21 · math-ph · cond-mat.stat-mech · 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{PHGZJE3J47FJYAJC4EWCDD3ZPU}

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	2026-05-18T01:38:34.730095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cd949369e7ca9c0122e12c218f797d0e4c7cf659a7f17867a26c406395bb27

Aliases

arxiv: math-ph/0003021 · arxiv_version: math-ph/0003021v2 · doi: 10.48550/arxiv.math-ph/0003021 · pith_short_12: PHGZJE3J47FJ · pith_short_16: PHGZJE3J47FJYAJC · pith_short_8: PHGZJE3J

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/PHGZJE3J47FJYAJC4EWCDD3ZPU \
  | 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: 79cd949369e7ca9c0122e12c218f797d0e4c7cf659a7f17867a26c406395bb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9548793f55de8c0d1a96504c05e2bf689d73adb9d01f6cb26a0b5c1ca19f94",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-03-21T19:46:02Z",
    "title_canon_sha256": "b8223916303ee26b34bb1f156e1cc87d3e51af12b4b42be40f722d418c012966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0003021",
    "kind": "arxiv",
    "version": 2
  }
}