Pith Number

pith:PFGOQNCV

pith:1999:PFGOQNCVEPL6MWBKZ5VNW2NWEC

not attested not anchored not stored refs pending

Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model

Jaan Oitmaa, Oleg Sushkov, Valeri N. Kotov (University of Florida), Zheng Weihong (UNSW)

arxiv:cond-mat/9912228 v1 · 1999-12-14 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFGOQNCVEPL6MWBKZ5VNW2NWEC}

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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	2026-05-18T00:11:00.914144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794ce8345523d7e6582acf6adb69b62093fe4b12a41d62eb6b06dac3c3153d71

Aliases

arxiv: cond-mat/9912228 · arxiv_version: cond-mat/9912228v1 · doi: 10.48550/arxiv.cond-mat/9912228 · pith_short_12: PFGOQNCVEPL6 · pith_short_16: PFGOQNCVEPL6MWBK · pith_short_8: PFGOQNCV

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/PFGOQNCVEPL6MWBKZ5VNW2NWEC \
  | 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: 794ce8345523d7e6582acf6adb69b62093fe4b12a41d62eb6b06dac3c3153d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852396fed5b61e5a5c75cb11d85bae366f456305984df9585b9e70bcd7d11e4e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "1999-12-14T01:16:10Z",
    "title_canon_sha256": "4b3c4d42b544a119af3194aef0869add14b7701c8df4ffa6e2f3176a483138ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9912228",
    "kind": "arxiv",
    "version": 1
  }
}