Pith Number

pith:HFWP4EIZ

pith:2016:HFWP4EIZF4GEWY7EEI6FBD5YR2

not attested not anchored not stored refs pending

Quantum twist maps and dual canonical bases

Hironori Oya, Yoshiyuki Kimura

arxiv:1604.07748 v2 · 2016-04-26 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFWP4EIZF4GEWY7EEI6FBD5YR2}

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	2026-05-18T00:37:48.578999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

396cfe11192f0c4b63e4223c508fb88eb4e6c14c6814a0935ea2dd18be2bace9

Aliases

arxiv: 1604.07748 · arxiv_version: 1604.07748v2 · doi: 10.48550/arxiv.1604.07748 · pith_short_12: HFWP4EIZF4GE · pith_short_16: HFWP4EIZF4GEWY7E · pith_short_8: HFWP4EIZ

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/HFWP4EIZF4GEWY7EEI6FBD5YR2 \
  | 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: 396cfe11192f0c4b63e4223c508fb88eb4e6c14c6814a0935ea2dd18be2bace9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b37533cb3328f7e63ec387af517d9f3af63c60de1040c9f5832411d72d0815",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-04-26T16:34:45Z",
    "title_canon_sha256": "05a29274fa6805c0bfe0ffaf792e49b3102d2a245a49acc66ccb2eed6d7b26ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07748",
    "kind": "arxiv",
    "version": 2
  }
}