Pith Number

pith:EF2NONEJ

pith:2005:EF2NONEJD3ZKSYXLPGGHA54XSW

not attested not anchored not stored refs pending

Elliptic determinant evaluations and the Macdonald identities for affine root systems

Hjalmar Rosengren, Michael Schlosser

arxiv:math/0505213 v2 · 2005-05-11 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EF2NONEJD3ZKSYXLPGGHA54XSW}

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	2026-05-17T23:53:03.228624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2174d734891ef2a962eb798c70779795a17d405d66c4bf7bb2bbb95a08408fd5

Aliases

arxiv: math/0505213 · arxiv_version: math/0505213v2 · doi: 10.48550/arxiv.math/0505213 · pith_short_12: EF2NONEJD3ZK · pith_short_16: EF2NONEJD3ZKSYXL · pith_short_8: EF2NONEJ

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/EF2NONEJD3ZKSYXLPGGHA54XSW \
  | 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: 2174d734891ef2a962eb798c70779795a17d405d66c4bf7bb2bbb95a08408fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51548df9916550e87314374587ff4fdd4299e5a79f7f6d1fdebd6982101e622a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-05-11T13:49:31Z",
    "title_canon_sha256": "9aa1c58dfbe5cfbe4598b78c502a64caaebb7e36d0c3405f3d82a6c231649f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505213",
    "kind": "arxiv",
    "version": 2
  }
}