Pith Number

pith:4LB5TY2D

pith:2000:4LB5TY2DAWC4466I4PXYS5NGJ3

not attested not anchored not stored refs pending

Hubbard ladders in a magnetic field

A. De Martino, D. C. Cabra, P. Pujol, P. Simon

arxiv:cond-mat/0012235 v1 · 2000-12-13 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LB5TY2DAWC4466I4PXYS5NGJ3}

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	2026-05-18T03:44:45.576369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c3d9e3430585ce7bc8e3ef8975a64ed7859ec1c5d71d09ace838071eaae883

Aliases

arxiv: cond-mat/0012235 · arxiv_version: cond-mat/0012235v1 · doi: 10.48550/arxiv.cond-mat/0012235 · pith_short_12: 4LB5TY2DAWC4 · pith_short_16: 4LB5TY2DAWC4466I · pith_short_8: 4LB5TY2D

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/4LB5TY2DAWC4466I4PXYS5NGJ3 \
  | 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: e2c3d9e3430585ce7bc8e3ef8975a64ed7859ec1c5d71d09ace838071eaae883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3135820191817c5340a53e5bc6459ead03efdf3dd3040c4a25da1dbed3994e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2000-12-13T17:41:40Z",
    "title_canon_sha256": "c6ecbee2864c88db7c51669ec1c4f84bf602066955e0cf8bdb34cf1ee0d421e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0012235",
    "kind": "arxiv",
    "version": 1
  }
}