Pith Number

pith:DJ75YS3N

pith:2006:DJ75YS3NAGGSRM5TAEY2AHJEHM

not attested not anchored not stored refs pending

Operator product expansion of higher rank Wilson loops from D-branes and matrix models

Diego Trancanelli, Riccardo Ricci, Simone Giombi

arxiv:hep-th/0608077 v2 · 2006-08-11 · 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{DJ75YS3NAGGSRM5TAEY2AHJEHM}

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	2026-07-04T17:02:03.827816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7fdc4b6d018d28b3b30131a01d243b34e6453302fb89de1d01155f3bc41277

Aliases

arxiv: hep-th/0608077 · arxiv_version: hep-th/0608077v2 · doi: 10.48550/arxiv.hep-th/0608077 · pith_short_12: DJ75YS3NAGGS · pith_short_16: DJ75YS3NAGGSRM5T · pith_short_8: DJ75YS3N

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/DJ75YS3NAGGSRM5TAEY2AHJEHM \
  | 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: 1a7fdc4b6d018d28b3b30131a01d243b34e6453302fb89de1d01155f3bc41277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2449596e0976c2ac9191392b1af18c39cd28695a61941cecdf4a10ae03a32ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-08-11T19:25:17Z",
    "title_canon_sha256": "82acc30a983388436317b24d0a613ceb69906ebfed7b8074cc5455e973e93a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0608077",
    "kind": "arxiv",
    "version": 2
  }
}