Pith Number

pith:R4HK3P67

pith:1999:R4HK3P673B73T2UHDNPKZCDNNX

not attested not anchored not stored refs pending

Phase Diagrams of Mixed Spin Chains with Period 4 by the Nonlinear $\sigma$ Model

Ken'ichi Takano

arxiv:cond-mat/9911098 v1 · 1999-11-07 · cond-mat.str-el · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4HK3P673B73T2UHDNPKZCDNNX}

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	2026-05-18T01:07:04.057662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0eadbfdfd87fb9ea871b5eac886d6dc4ec318fcf356e6d28b0e3e717c3152a

Aliases

arxiv: cond-mat/9911098 · arxiv_version: cond-mat/9911098v1 · doi: 10.48550/arxiv.cond-mat/9911098 · pith_short_12: R4HK3P673B73 · pith_short_16: R4HK3P673B73T2UH · pith_short_8: R4HK3P67

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/R4HK3P673B73T2UHDNPKZCDNNX \
  | 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: 8f0eadbfdfd87fb9ea871b5eac886d6dc4ec318fcf356e6d28b0e3e717c3152a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee34ab1dfea293322b45d0303fa9c0ff53a264fb0aa4b78dfe42596bec00b19",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "1999-11-07T07:01:04Z",
    "title_canon_sha256": "48a55ecb7a513c79e971266a0f1825b9fa132c5312fdd1e4fb59507b67d2cf3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9911098",
    "kind": "arxiv",
    "version": 1
  }
}