Pith Number

pith:4TOEZFRP

pith:2011:4TOEZFRPOONVTXG4U7SP26SS2N

not attested not anchored not stored refs pending

Conformal invariance in the three dimensional (3D) Ising model and quaternionic geometric phase in quaternionic Hilbert space

Norman H. March, Zhidong Zhang

arxiv:1110.5527 v2 · 2011-10-23 · 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{4TOEZFRPOONVTXG4U7SP26SS2N}

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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	2026-05-18T03:39:14.689126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dc4c962f739b59dcdca7e4fd7a52d370f3f71fab8f0dc743da21102e8a2f39

Aliases

arxiv: 1110.5527 · arxiv_version: 1110.5527v2 · doi: 10.48550/arxiv.1110.5527 · pith_short_12: 4TOEZFRPOONV · pith_short_16: 4TOEZFRPOONVTXG4 · pith_short_8: 4TOEZFRP

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/4TOEZFRPOONVTXG4U7SP26SS2N \
  | 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: e4dc4c962f739b59dcdca7e4fd7a52d370f3f71fab8f0dc743da21102e8a2f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d362cc0d994b86eb991ac54d6a419d5a38472e6287f6c76803da39c9f59a5bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-23T01:10:39Z",
    "title_canon_sha256": "0e826b6ee29bfbb586bc7d0222d3cf624be911067e6bb933408a257ca96ae519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5527",
    "kind": "arxiv",
    "version": 2
  }
}