Pith Number

pith:LHKPOCME

pith:2012:LHKPOCME2OL2S5A4SJC5SQ6C5J

not attested not anchored not stored refs pending

A quantum Mermin--Wagner theorem for a generalized Hubbard model on a 2D graph

Mark Kelbert, Yurii Suhov

arxiv:1210.8344 v3 · 2012-10-31 · 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{LHKPOCME2OL2S5A4SJC5SQ6C5J}

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	2026-05-18T02:46:31.492444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d4f70984d397a9741c9245d943c2ea602239ea2898066b578ac6bb49b3ff2c

Aliases

arxiv: 1210.8344 · arxiv_version: 1210.8344v3 · doi: 10.48550/arxiv.1210.8344 · pith_short_12: LHKPOCME2OL2 · pith_short_16: LHKPOCME2OL2S5A4 · pith_short_8: LHKPOCME

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/LHKPOCME2OL2S5A4SJC5SQ6C5J \
  | 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: 59d4f70984d397a9741c9245d943c2ea602239ea2898066b578ac6bb49b3ff2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7745f939d3e4645838b79455a2bbcbf52d917641cffab9206fd3d77e6ba3c282",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-31T14:38:02Z",
    "title_canon_sha256": "cf5f40a5150710cbea7c39e008191092fc46d76e188785345633036c5d1bc4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8344",
    "kind": "arxiv",
    "version": 3
  }
}