Pith Number

pith:MIDCAJTB

pith:2001:MIDCAJTB3H5KO3UFDGL3YDT6CD

not attested not anchored not stored refs pending

Asymmetric diffusion and the energy gap above the 111 ground state of the quantum XXZ model

Fabio Martinelli, Pietro Caputo

arxiv:cond-mat/0106523 v1 · 2001-06-26 · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIDCAJTB3H5KO3UFDGL3YDT6CD}

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	2026-05-18T04:39:51.663047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6206202661d9faa76e851997bc0e7e10ff28f6c131131032b82493417c5b350b

Aliases

arxiv: cond-mat/0106523 · arxiv_version: cond-mat/0106523v1 · doi: 10.48550/arxiv.cond-mat/0106523 · pith_short_12: MIDCAJTB3H5K · pith_short_16: MIDCAJTB3H5KO3UF · pith_short_8: MIDCAJTB

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/MIDCAJTB3H5KO3UFDGL3YDT6CD \
  | 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: 6206202661d9faa76e851997bc0e7e10ff28f6c131131032b82493417c5b350b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdcb2123c074c846bb6fceee4a4b750dc8606b03535eed1e5e165c29638293f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2001-06-26T10:02:49Z",
    "title_canon_sha256": "c8ff7e48d3c0baddd0a538d7877a603e01e9ee46879a6ef6648f5b67ffff527f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0106523",
    "kind": "arxiv",
    "version": 1
  }
}