Pith Number

pith:G2D7CUDE

pith:2002:G2D7CUDEPTDZTEYPFSPCH2AJ5K

not attested not anchored not stored refs pending

Spin-gap phase in the extended t-J chain

Yu-Li Lee, Yu-Wen Lee

arxiv:cond-mat/0212207 v3 · 2002-12-10 · cond-mat.str-el · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2D7CUDEPTDZTEYPFSPCH2AJ5K}

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	2026-05-18T01:40:02.314842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3687f150647cc799930f2c9e23e809eaa788affbc15b402494d6c3fe656a559c

Aliases

arxiv: cond-mat/0212207 · arxiv_version: cond-mat/0212207v3 · doi: 10.48550/arxiv.cond-mat/0212207 · pith_short_12: G2D7CUDEPTDZ · pith_short_16: G2D7CUDEPTDZTEYP · pith_short_8: G2D7CUDE

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/G2D7CUDEPTDZTEYPFSPCH2AJ5K \
  | 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: 3687f150647cc799930f2c9e23e809eaa788affbc15b402494d6c3fe656a559c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38748d78c777f9ae59eeacf20dbcd22fca3d65450346ff51123a1275388e0699",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2002-12-10T05:53:12Z",
    "title_canon_sha256": "d2170f84e14f28c6433b8901b9eb69ea774c219ae25153acdd4da77c793371b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0212207",
    "kind": "arxiv",
    "version": 3
  }
}