Pith Number

pith:CMA2Z43M

pith:2025:CMA2Z43MY322JSHSL7DGBBPCPE

not attested not anchored not stored refs pending

On the mean-field antiferromagnetic gap for the half-filled 2D Hubbard model at zero temperature

Edwin Langmann, Jonatan Lenells

arxiv:2501.18141 v2 · 2025-01-30 · math-ph · cond-mat.str-el · 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{CMA2Z43MY322JSHSL7DGBBPCPE}

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	2026-06-09T02:08:28.621812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1301acf36cc6f5a4c8f25fc66085e2792894f84b465203077f063a9c3e41ad5f

Aliases

arxiv: 2501.18141 · arxiv_version: 2501.18141v2 · doi: 10.48550/arxiv.2501.18141 · pith_short_12: CMA2Z43MY322 · pith_short_16: CMA2Z43MY322JSHS · pith_short_8: CMA2Z43M

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/CMA2Z43MY322JSHSL7DGBBPCPE \
  | 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: 1301acf36cc6f5a4c8f25fc66085e2792894f84b465203077f063a9c3e41ad5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45931e919e6c526fec506f5c907b72e19d7a8331f432a0b7d5adb65f46b47d71",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-30T05:15:30Z",
    "title_canon_sha256": "56b98e9592d3ddfc1397042273e3451c43decd772a40998de5d51b37d1c77e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18141",
    "kind": "arxiv",
    "version": 2
  }
}