Pith Number

pith:FZQ7EFR7

pith:2011:FZQ7EFR7FCCATRGA3FZHQTFPNK

not attested not anchored not stored refs pending

Critical properties of 2D Z(N) vector models for N>4

Alessandro Papa, Gennaro Cortese, Mario Gravina, Oleg Borisenko, Roberto Fiore

arxiv:1110.6385 v1 · 2011-10-28 · hep-lat · 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{FZQ7EFR7FCCATRGA3FZHQTFPNK}

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	2026-05-18T04:09:56.862395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e61f2163f288409c4c0d972784caf6aaf85ca4a473001f36053338ac3f33bba

Aliases

arxiv: 1110.6385 · arxiv_version: 1110.6385v1 · doi: 10.48550/arxiv.1110.6385 · pith_short_12: FZQ7EFR7FCCA · pith_short_16: FZQ7EFR7FCCATRGA · pith_short_8: FZQ7EFR7

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/FZQ7EFR7FCCATRGA3FZHQTFPNK \
  | 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: 2e61f2163f288409c4c0d972784caf6aaf85ca4a473001f36053338ac3f33bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5e56d3be4720fab33d0c74f55361e2b850ead1afe3948f0d0c2bdea15e5fcb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2011-10-28T16:15:02Z",
    "title_canon_sha256": "a3b8ca01a8b01f8b157e490ec9caa11dfe6c5cc44da479b71269aaed97dde2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6385",
    "kind": "arxiv",
    "version": 1
  }
}