Pith Number

pith:4KETTCT5

pith:2006:4KETTCT5CXB4PDMPUTOCNI6QYT

not attested not anchored not stored refs pending

Phase structure of the large-N reduced gauge theory and generalized Weingarten model

Fukuichiro Kubo, Hikaru Kawai, Masanori Hanada, Takashi Kanai

arxiv:hep-th/0604065 v3 · 2006-04-10 · hep-th · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KETTCT5CXB4PDMPUTOCNI6QYT}

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	2026-07-04T15:20:00.565823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e289398a7d15c3c78d8fa4dc26a3d0c4ecd3b438a2061a31e7091e81b3159935

Aliases

arxiv: hep-th/0604065 · arxiv_version: hep-th/0604065v3 · doi: 10.48550/arxiv.hep-th/0604065 · pith_short_12: 4KETTCT5CXB4 · pith_short_16: 4KETTCT5CXB4PDMP · pith_short_8: 4KETTCT5

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/4KETTCT5CXB4PDMPUTOCNI6QYT \
  | 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: e289398a7d15c3c78d8fa4dc26a3d0c4ecd3b438a2061a31e7091e81b3159935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7925bf04e01501d0d0e704597663263b791c987cfcf3bae9d05f16434ba8fc64",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-04-10T07:54:33Z",
    "title_canon_sha256": "3069bfe9ac75da05dc87d9a8201590c11ebf587c1b5dbc9d12f05f3d9d69260b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0604065",
    "kind": "arxiv",
    "version": 3
  }
}