Pith Number

pith:ZBSSBG7K

pith:2010:ZBSSBG7KY3V43EWNBT6IAHGI23

not attested not anchored not stored refs pending

Duality and replicas for a unitary matrix model

E.Brezin, S.Hikami

arxiv:1005.4730 v2 · 2010-05-26 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBSSBG7KY3V43EWNBT6IAHGI23}

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	2026-05-18T02:33:23.950381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c865209beac6ebcd92cd0cfc801cc8d6d5785a1590032e20f4bba3fad414a685

Aliases

arxiv: 1005.4730 · arxiv_version: 1005.4730v2 · doi: 10.48550/arxiv.1005.4730 · pith_short_12: ZBSSBG7KY3V4 · pith_short_16: ZBSSBG7KY3V43EWN · pith_short_8: ZBSSBG7K

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/ZBSSBG7KY3V43EWNBT6IAHGI23 \
  | 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: c865209beac6ebcd92cd0cfc801cc8d6d5785a1590032e20f4bba3fad414a685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e8a601533c9e717d3994fe5d9ee36589d50e8c17cbf4a2816740b430698eeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-26T04:00:07Z",
    "title_canon_sha256": "361b8b3315e785fa441c417c779e1ab91adad43a2891cd8ec6f1790ba0ca8d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4730",
    "kind": "arxiv",
    "version": 2
  }
}