Pith Number

pith:3I6R4IKE

pith:2008:3I6R4IKEX5H5DYAALJIKZMHMHL

not attested not anchored not stored refs pending

The elliptic Hall algebra, Cherednick Hecke algebras and Macdonald polynomials

Eric Vasserot, Olivier Schiffmann

arxiv:0802.4001 v1 · 2008-02-27 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I6R4IKEX5H5DYAALJIKZMHMHL}

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	2026-05-17T23:53:20.219518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3d1e2144bf4fd1e0005a50acb0ec3ae95b76b44a4f5c9bcfd28a4e12b2afce

Aliases

arxiv: 0802.4001 · arxiv_version: 0802.4001v1 · doi: 10.48550/arxiv.0802.4001 · pith_short_12: 3I6R4IKEX5H5 · pith_short_16: 3I6R4IKEX5H5DYAA · pith_short_8: 3I6R4IKE

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/3I6R4IKEX5H5DYAALJIKZMHMHL \
  | 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: da3d1e2144bf4fd1e0005a50acb0ec3ae95b76b44a4f5c9bcfd28a4e12b2afce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c569e3f09a3998ab89f3514e566e3da53cea47213954e3b6e48ef80f6cf262",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-02-27T12:15:02Z",
    "title_canon_sha256": "324886bef9caaee7cc09a3a63d1f856354d94db9b1f44df62921cd8923206d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4001",
    "kind": "arxiv",
    "version": 1
  }
}