Pith Number

pith:4I2ZVXFV

pith:2005:4I2ZVXFV5QS722WBHFZSYXLY7U

not attested not anchored not stored refs pending

Lieb-Schultz-Mattis theorem for quasi-topological systems

Chetan Nayak, Kirill Shtengel, Michael Freedman

arxiv:cond-mat/0508508 v2 · 2005-08-22 · 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{4I2ZVXFV5QS722WBHFZSYXLY7U}

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	2026-07-04T15:32:45.040738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2359adcb5ec25fd6ac139732c5d78fd2433ca10cbe835ad70af591b2e5ce5cd

Aliases

arxiv: cond-mat/0508508 · arxiv_version: cond-mat/0508508v2 · doi: 10.48550/arxiv.cond-mat/0508508 · pith_short_12: 4I2ZVXFV5QS7 · pith_short_16: 4I2ZVXFV5QS722WB · pith_short_8: 4I2ZVXFV

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/4I2ZVXFV5QS722WBHFZSYXLY7U \
  | 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: e2359adcb5ec25fd6ac139732c5d78fd2433ca10cbe835ad70af591b2e5ce5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d657f097d73323832046c7b7da6362c8388bfeccdda3062f08ac0b9699f2fc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2005-08-22T02:56:54Z",
    "title_canon_sha256": "aff3b0e955d817adc79d895bce18cf4f29caa1f86a3d8d50f2323cdaf2d227ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0508508",
    "kind": "arxiv",
    "version": 2
  }
}