Pith Number

pith:WLZ7VOQH

pith:1993:WLZ7VOQHILG3CLKLCACMXBNBA2

not attested not anchored not stored refs pending

Duality of a Generalized Gauge Invariant Ising Model on Random Surfaces

B. Zheng, L. Sch\"ulke, Z.B. Li

arxiv:hep-th/9311175 v1 · 1993-11-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLZ7VOQHILG3CLKLCACMXBNBA2}

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	2026-07-04T15:50:29.951779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f3faba0742cdb12d4b1004cb85a106abef93fe1a514c5f6990d5d7140d9f4c

Aliases

arxiv: hep-th/9311175 · arxiv_version: hep-th/9311175v1 · doi: 10.48550/arxiv.hep-th/9311175 · pith_short_12: WLZ7VOQHILG3 · pith_short_16: WLZ7VOQHILG3CLKL · pith_short_8: WLZ7VOQH

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/WLZ7VOQHILG3CLKLCACMXBNBA2 \
  | 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: b2f3faba0742cdb12d4b1004cb85a106abef93fe1a514c5f6990d5d7140d9f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbfa5a765d8105a158a38bc0274cb232774d63b9bdbb583f6cc08836259ba28a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-11-29T20:08:32Z",
    "title_canon_sha256": "63d621f378a207c6a4005de469aa4e8606abe346a0e2f75822300f743fa4f86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9311175",
    "kind": "arxiv",
    "version": 1
  }
}