Pith Number

pith:GFP5U2Z2

pith:2026:GFP5U2Z24MSF5ASYTVF7BNRXVB

not attested not anchored not stored refs pending

Matching $A$ with $F$ in long-range QFTs

Lorenzo Benfatto, Omar Zanusso

arxiv:2605.21326 v1 · 2026-05-20 · hep-th · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFP5U2Z24MSF5ASYTVF7BNRXVB}

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	2026-05-21T02:05:29.276028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315fda6b3ae3245e82589d4bf0b637a86d6c81c811c4bac580d3e75053f699ee

Aliases

arxiv: 2605.21326 · arxiv_version: 2605.21326v1 · doi: 10.48550/arxiv.2605.21326 · pith_short_12: GFP5U2Z24MSF · pith_short_16: GFP5U2Z24MSF5ASY · pith_short_8: GFP5U2Z2

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/GFP5U2Z24MSF5ASYTVF7BNRXVB \
  | 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: 315fda6b3ae3245e82589d4bf0b637a86d6c81c811c4bac580d3e75053f699ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613cbee0eefd2f58f7103aebccd9896228fd6d7d5aee907e867b47e3a44fb495",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-20T15:52:26Z",
    "title_canon_sha256": "f77eadb6d0121ced2ea5af4850a6a96ccf91b1448e800e41b6b1801bc8a90503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21326",
    "kind": "arxiv",
    "version": 1
  }
}