Pith Number

pith:E2ABO7FO

pith:1993:E2ABO7FOXL2RMTUFT2ZKAAZZQE

not attested not anchored not stored refs pending

Generalized Bethe Ansatz Equations for Hofstadter Problem

L.D. Faddeev, R.M. Kashaev

arxiv:hep-th/9312133 v1 · 1993-12-15 · hep-th · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2ABO7FOXL2RMTUFT2ZKAAZZQE}

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	2026-05-18T01:38:42.192726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2680177caebaf5164e859eb2a00339811d00f8438f07734e9e70a9a8947bd94c

Aliases

arxiv: hep-th/9312133 · arxiv_version: hep-th/9312133v1 · doi: 10.48550/arxiv.hep-th/9312133 · pith_short_12: E2ABO7FOXL2R · pith_short_16: E2ABO7FOXL2RMTUF · pith_short_8: E2ABO7FO

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/E2ABO7FOXL2RMTUFT2ZKAAZZQE \
  | 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: 2680177caebaf5164e859eb2a00339811d00f8438f07734e9e70a9a8947bd94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc170a0c8856374cc170a2931817ed2433966265d1742bf4fe07ea419a85bb4",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-15T14:14:17Z",
    "title_canon_sha256": "2beaa63a30764bf5ec6171ae26fd24dc8bec2fecde1299204ccdad4fca4ce934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312133",
    "kind": "arxiv",
    "version": 1
  }
}