Pith Number

pith:WCC3R4FB

pith:2026:WCC3R4FBTGBTCWW4FY34BADDZB

not attested not anchored not stored refs pending

Many-body localization for the random XXZ spin chain in fixed energy intervals

Abel Klein, Alexander Elgart

arxiv:2602.01441 v3 · 2026-02-01 · math-ph · cond-mat.dis-nn · 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{WCC3R4FBTGBTCWW4FY34BADDZB}

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	2026-08-03T00:10:07.525286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b085b8f0a19983315adc2e37c08063c84e7362258769bc85f5428ec2da5fc79c

Aliases

arxiv: 2602.01441 · arxiv_version: 2602.01441v3 · doi: 10.48550/arxiv.2602.01441 · pith_short_12: WCC3R4FBTGBT · pith_short_16: WCC3R4FBTGBTCWW4 · pith_short_8: WCC3R4FB

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/WCC3R4FBTGBTCWW4FY34BADDZB \
  | 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: b085b8f0a19983315adc2e37c08063c84e7362258769bc85f5428ec2da5fc79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343b79e8a7d2caa8c12d8869f980e66954b0157adb7d741975476eada5a8434d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-02-01T21:17:36Z",
    "title_canon_sha256": "620f1187e05e3b604a310f8add0e7eb7357c05ca37c4717a4c9effaf4869c908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01441",
    "kind": "arxiv",
    "version": 3
  }
}