Pith Number

pith:W55QCVLT

pith:2007:W55QCVLTLI7IGR63VSHTUKPS4F

not attested not anchored not stored refs pending

Operator Product Expansion of Wilson surfaces from M5-branes

Bin Chen, Chang-Yong Liu, Jun-Bao Wu

arxiv:0711.2194 v3 · 2007-11-14 · 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{W55QCVLTLI7IGR63VSHTUKPS4F}

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	2026-07-04T15:23:44.718842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77b0155735a3e8347dbac8f3a29f2e149f38c5a20e582e1f7859a84c79d2158

Aliases

arxiv: 0711.2194 · arxiv_version: 0711.2194v3 · doi: 10.48550/arxiv.0711.2194 · pith_short_12: W55QCVLTLI7I · pith_short_16: W55QCVLTLI7IGR63 · pith_short_8: W55QCVLT

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/W55QCVLTLI7IGR63VSHTUKPS4F \
  | 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: b77b0155735a3e8347dbac8f3a29f2e149f38c5a20e582e1f7859a84c79d2158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691610967911f2637c06aa5eec5a7bc4d59d9be65b0ecfcc62d0ebd74f23f376",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-11-14T13:26:12Z",
    "title_canon_sha256": "cc6e7e766420d3d1c3c7672e82c3e269921a7c66a21495f23f5801445e5a7306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2194",
    "kind": "arxiv",
    "version": 3
  }
}