Pith Number

pith:ZJGJU375

pith:1998:ZJGJU375HLGYH6I2WFODD5DX5U

not attested not anchored not stored refs pending

Universality in Chiral Random Matrix Theory at $\beta =1$ and $\beta =4$

J.J.M. Verbaarschot, M.K. Sener

arxiv:hep-th/9801042 v2 · 1998-01-08 · 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{ZJGJU375HLGYH6I2WFODD5DX5U}

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	2026-05-18T01:05:55.547003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4c9a6ffd3acd83f91ab15c31f477ed037b1dbc9fcdfe89e2d8d370486be9d6

Aliases

arxiv: hep-th/9801042 · arxiv_version: hep-th/9801042v2 · doi: 10.48550/arxiv.hep-th/9801042 · pith_short_12: ZJGJU375HLGY · pith_short_16: ZJGJU375HLGYH6I2 · pith_short_8: ZJGJU375

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/ZJGJU375HLGYH6I2WFODD5DX5U \
  | 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: ca4c9a6ffd3acd83f91ab15c31f477ed037b1dbc9fcdfe89e2d8d370486be9d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8299187e584d7205cd370da8de5733db443866a1b524d074f849032ff17b7c1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-01-08T15:12:08Z",
    "title_canon_sha256": "f4e2ed6cc133701874ff7e50d6e92e30cb8d5a77ea856ac691ba9411b7a563b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9801042",
    "kind": "arxiv",
    "version": 2
  }
}