Pith Number

pith:ZDWIX42R

pith:2013:ZDWIX42RK2Z223KBRNEULLH5WF

not attested not anchored not stored refs pending

Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

Junpeng Cao, Kangjie Shi, Wen-Li Yang, Yuan-Yuan Li, Yupeng Wang

arxiv:1311.0432 v2 · 2013-11-03 · cond-mat.str-el · hep-th · math-ph · 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{ZDWIX42RK2Z223KBRNEULLH5WF}

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	2026-05-18T01:46:39.661860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ec8bf35156b3ad6d418b4945acfdb14678bfeed2f4bac1ce4199434a463027

Aliases

arxiv: 1311.0432 · arxiv_version: 1311.0432v2 · doi: 10.48550/arxiv.1311.0432 · pith_short_12: ZDWIX42RK2Z2 · pith_short_16: ZDWIX42RK2Z223KB · pith_short_8: ZDWIX42R

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/ZDWIX42RK2Z223KBRNEULLH5WF \
  | 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: c8ec8bf35156b3ad6d418b4945acfdb14678bfeed2f4bac1ce4199434a463027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a916f0b1c572b9ae1a475537b5e29ad571de305f15ae3fab451519dd8a44cdd",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2013-11-03T07:24:36Z",
    "title_canon_sha256": "16fa3fa10195e7e6b4a5d0850cf6eb4cf5b232ce986b0e6ef6213a9723966c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0432",
    "kind": "arxiv",
    "version": 2
  }
}