Pith Number

pith:I6DW6HAB

pith:1998:I6DW6HAB5IG3JEKDI5S7DARTS7

not attested not anchored not stored refs pending

Determinants of Airy Operators and Applications to Random Matrices

Estelle L. Basor, Harold Widom

arxiv:math/9812043 v2 · 1998-12-08 · math.FA · nlin.SI · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6DW6HAB5IG3JEKDI5S7DARTS7}

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	2026-05-18T01:38:22.692351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47876f1c01ea0db491434765f1823397f291183ce47f2e160b5af92c09c06626

Aliases

arxiv: math/9812043 · arxiv_version: math/9812043v2 · doi: 10.48550/arxiv.math/9812043 · pith_short_12: I6DW6HAB5IG3 · pith_short_16: I6DW6HAB5IG3JEKD · pith_short_8: I6DW6HAB

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/I6DW6HAB5IG3JEKDI5S7DARTS7 \
  | 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: 47876f1c01ea0db491434765f1823397f291183ce47f2e160b5af92c09c06626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d72fe87ffbedf2c1e3507bcd8902730f4a9923a853e76e7ca01fc708e97263c",
    "cross_cats_sorted": [
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1998-12-08T00:28:17Z",
    "title_canon_sha256": "b20b795e911019eb931ebcc5f1d755c7ec014068ab165a8680cac4ba93aab581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812043",
    "kind": "arxiv",
    "version": 2
  }
}