Pith Number

pith:PRV5HUVV

pith:1999:PRV5HUVVMGTW5BIYEIYVLRIOF3

not attested not anchored not stored refs pending

Advanced Determinant Calculus

Christian Krattenthaler (Universit\"at Wien)

arxiv:math/9902004 v3 · 1999-02-01 · math.CO · math-ph · math.CA · math.MP · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRV5HUVVMGTW5BIYEIYVLRIOF3}

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.

Cited by

1 paper in Pith

Toeplitz Determinants and Admissible Correlation Intervals

Receipt and verification

First computed	2026-07-04T14:40:56.844621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6bd3d2b561a76e8518223155c50e2ef3d14945cca4207bd054fd4f738928dd

Aliases

arxiv: math/9902004 · arxiv_version: math/9902004v3 · doi: 10.48550/arxiv.math/9902004 · pith_short_12: PRV5HUVVMGTW · pith_short_16: PRV5HUVVMGTW5BIY · pith_short_8: PRV5HUVV

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/PRV5HUVVMGTW5BIYEIYVLRIOF3 \
  | 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: 7c6bd3d2b561a76e8518223155c50e2ef3d14945cca4207bd054fd4f738928dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e5c2159a7a8c4d6806f779c3b7a519bfd7470e026b80857d1f4eb59d312f01",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.NT",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1999-02-01T11:21:33Z",
    "title_canon_sha256": "6754f313a287854c302643cd2fe5e67d5c004bb4df79d4b2efe70d513b631d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902004",
    "kind": "arxiv",
    "version": 3
  }
}