Pith Number

pith:NV3TKT7R

pith:2016:NV3TKT7RF5NPZMRRWGMW7TMU4A

not attested not anchored not stored refs pending

Energy spectrum and critical exponents of the free parafermion $Z_N$ spin chain

Francisco C Alcaraz, Murray T Batchelor, Zi-Zhong Liu

arxiv:1612.02617 v2 · 2016-12-08 · cond-mat.stat-mech · cond-mat.str-el · hep-th · math-ph · 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{NV3TKT7RF5NPZMRRWGMW7TMU4A}

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.

Cited by

1 paper in Pith

Free fermionic and parafermionic multispin quantum chains with non-homogeneous interacting ranges

Receipt and verification

First computed	2026-05-18T00:48:05.208902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d77354ff12f5afcb231b1996fcd94e02a188116e8035faddd55a84cc9e34715

Aliases

arxiv: 1612.02617 · arxiv_version: 1612.02617v2 · doi: 10.48550/arxiv.1612.02617 · pith_short_12: NV3TKT7RF5NP · pith_short_16: NV3TKT7RF5NPZMRR · pith_short_8: NV3TKT7R

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/NV3TKT7RF5NPZMRRWGMW7TMU4A \
  | 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: 6d77354ff12f5afcb231b1996fcd94e02a188116e8035faddd55a84cc9e34715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddba4ea02349815ee3ecdb8e176f3c1061abb121b08aa7c19200cb144024f62",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-12-08T12:23:16Z",
    "title_canon_sha256": "2bb145ef685eb494082d01b433ba7a8b5fc5392a6f7cc2ffad542164f3662a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02617",
    "kind": "arxiv",
    "version": 2
  }
}