Pith Number

pith:7WJPAHF2

pith:2012:7WJPAHF2WRBJEFO5OXMWN5RW2E

not attested not anchored not stored refs pending

Some universal properties of Levin-Wen models

Liang Kong

arxiv:1211.4644 v1 · 2012-11-20 · cond-mat.str-el · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WJPAHF2WRBJEFO5OXMWN5RW2E}

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.

Cited by

2 papers in Pith

Pro-Tensor Network

Receipt and verification

First computed	2026-05-18T03:07:34.603899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd92f01cbab4429215dd75d966f636d10ff5f68c9733bad9674c4d51a7077c94

Aliases

arxiv: 1211.4644 · arxiv_version: 1211.4644v1 · doi: 10.48550/arxiv.1211.4644 · pith_short_12: 7WJPAHF2WRBJ · pith_short_16: 7WJPAHF2WRBJEFO5 · pith_short_8: 7WJPAHF2

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/7WJPAHF2WRBJEFO5OXMWN5RW2E \
  | 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: fd92f01cbab4429215dd75d966f636d10ff5f68c9733bad9674c4d51a7077c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d662a8381610df22c936db80e997aba3415824f4f42bcc47ccce54ac398f609e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-11-20T01:18:10Z",
    "title_canon_sha256": "2d4b8cf9c430818489de2d60ed3de13b3d12dd1f4c83e7080ffbb69f2aee5dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4644",
    "kind": "arxiv",
    "version": 1
  }
}