Pith Number

pith:BTKHMFOV

pith:2000:BTKHMFOVNR4JNBBZR6ZVH7BT5K

not attested not anchored not stored refs pending

Quantum Phase Transitions and the Extended Coupled Cluster Method

N.E. Ligterink, N.R. Walet, R.F. Bishop

arxiv:hep-ph/0008040 v1 · 2000-08-04 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTKHMFOVNR4JNBBZR6ZVH7BT5K}

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	2026-07-04T16:20:16.728207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd47615d56c789684398fb353fc33ea8c3234ea30c6d20006e87e067a70efa2

Aliases

arxiv: hep-ph/0008040 · arxiv_version: hep-ph/0008040v1 · doi: 10.48550/arxiv.hep-ph/0008040 · pith_short_12: BTKHMFOVNR4J · pith_short_16: BTKHMFOVNR4JNBBZ · pith_short_8: BTKHMFOV

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/BTKHMFOVNR4JNBBZR6ZVH7BT5K \
  | 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: 0cd47615d56c789684398fb353fc33ea8c3234ea30c6d20006e87e067a70efa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e657827359549748dcddcd72f3cd21263988e1de0bedca533538fc9e4c53faf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-08-04T10:51:56Z",
    "title_canon_sha256": "5d8707ada61e11f91e16967467ec98008e5bb78b4ac25fff5a68b44b500b51e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0008040",
    "kind": "arxiv",
    "version": 1
  }
}