Pith Number

pith:Q7ZSI7VN

pith:2022:Q7ZSI7VNJ6MEPSUMWHPV5KPS6G

not attested not anchored not stored refs pending

Umklapp scattering in the one-dimensional Hubbard model

Haijun Liao, Kang Wang, Runze Chi, Tao Xiang, Tong Liu, Yang Liu

arxiv:2212.10972 v1 · 2022-12-21 · cond-mat.str-el · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7ZSI7VNJ6MEPSUMWHPV5KPS6G}

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	2026-07-05T05:27:24.897865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f3247ead4f9847ca8cb1df5ea9f2f192829bfb32db5920eb3182025ea47082

Aliases

arxiv: 2212.10972 · arxiv_version: 2212.10972v1 · doi: 10.48550/arxiv.2212.10972 · pith_short_12: Q7ZSI7VNJ6ME · pith_short_16: Q7ZSI7VNJ6MEPSUM · pith_short_8: Q7ZSI7VN

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/Q7ZSI7VNJ6MEPSUMWHPV5KPS6G \
  | 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: 87f3247ead4f9847ca8cb1df5ea9f2f192829bfb32db5920eb3182025ea47082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9250916315dd932d52141c967f4624f00e2ae8585f07d18521ff6223440d01b",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2022-12-21T12:21:06Z",
    "title_canon_sha256": "dc64f87dcbbdf56eb1b9b5aff1e4d64b04972b33c5c2b371e4677354b8192a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10972",
    "kind": "arxiv",
    "version": 1
  }
}