Pith Number

pith:BJSF55FC

pith:2001:BJSF55FCNYOTK7CDN33MJSS2RZ

not attested not anchored not stored refs pending

Involutions of double affine Hecke algebras

Bogdan Ion

arxiv:math/0111010 v1 · 2001-11-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJSF55FCNYOTK7CDN33MJSS2RZ}

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	2026-07-04T14:35:36.192239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a645ef4a26e1d357c436ef6c4ca5a8e785ac6f84a495440e9d24ed63098ef37

Aliases

arxiv: math/0111010 · arxiv_version: math/0111010v1 · doi: 10.48550/arxiv.math/0111010 · pith_short_12: BJSF55FCNYOT · pith_short_16: BJSF55FCNYOTK7CD · pith_short_8: BJSF55FC

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/BJSF55FCNYOTK7CDN33MJSS2RZ \
  | 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: 0a645ef4a26e1d357c436ef6c4ca5a8e785ac6f84a495440e9d24ed63098ef37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42c4778a3087cb242bc2e8cb3bf76f5e7ff6cd025737fa9e94da01242a72c49",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-11-01T19:56:02Z",
    "title_canon_sha256": "4bdabdbd86367c5c425117e6794bca983c38d61b53127fe2f86f6cc7ebeda1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111010",
    "kind": "arxiv",
    "version": 1
  }
}