Pith Number

pith:3ABVA56C

pith:2008:3ABVA56CDV3B66JZ7WA62L5NFO

not attested not anchored not stored refs pending

Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type

Ta Khongsap, Weiqiang Wang

arxiv:0810.2068 v2 · 2008-10-12 · math.RT · 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{3ABVA56CDV3B66JZ7WA62L5NFO}

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	2026-07-04T15:36:55.830900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8035077c21d761f7939fd81ed2fad2b9950edd3b56521e18b7defcf50535506

Aliases

arxiv: 0810.2068 · arxiv_version: 0810.2068v2 · doi: 10.48550/arxiv.0810.2068 · pith_short_12: 3ABVA56CDV3B · pith_short_16: 3ABVA56CDV3B66JZ · pith_short_8: 3ABVA56C

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/3ABVA56CDV3B66JZ7WA62L5NFO \
  | 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: d8035077c21d761f7939fd81ed2fad2b9950edd3b56521e18b7defcf50535506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83461f9ac7022e8575ca806733a0055537fc4c1683f6102edb5a62eb163010ac",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-10-12T02:31:20Z",
    "title_canon_sha256": "112b53224a23b33f72e20df79bb43bcffe6ed453e83f3cc56ad6fdd515266eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2068",
    "kind": "arxiv",
    "version": 2
  }
}