Pith Number

pith:4X6LCON3

pith:2005:4X6LCON3G2RQDJDDPJNQZXCARW

not attested not anchored not stored refs pending

Planar N=4 Gauge Theory and the Hubbard Model

Adam Rej, Didina Serban, Matthias Staudacher

arxiv:hep-th/0512077 v2 · 2005-12-06 · 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{4X6LCON3G2RQDJDDPJNQZXCARW}

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	2026-05-18T04:22:51.352112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fcb139bb36a301a4637a5b0cdc408d88a803002d3386575cd92f7ebf00c4c0

Aliases

arxiv: hep-th/0512077 · arxiv_version: hep-th/0512077v2 · doi: 10.48550/arxiv.hep-th/0512077 · pith_short_12: 4X6LCON3G2RQ · pith_short_16: 4X6LCON3G2RQDJDD · pith_short_8: 4X6LCON3

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/4X6LCON3G2RQDJDDPJNQZXCARW \
  | 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: e5fcb139bb36a301a4637a5b0cdc408d88a803002d3386575cd92f7ebf00c4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a976a9428a68e10d194c1efef0f7b31119245e3185ee06ecacc3bc828d076ca8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-06T20:04:22Z",
    "title_canon_sha256": "8d494cf3e0bf07de2eeef3df38517763c2b42341fc58dc62c90aada7094a774c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0512077",
    "kind": "arxiv",
    "version": 2
  }
}