Pith Number

pith:HVTUIRHR

pith:2024:HVTUIRHRIKJVPDM2R6QZ5LCZEH

not attested not anchored not stored refs pending

Cluster algebras and quantum cohomology rings: A-type

Weiqiang He, Yingchun Zhang

arxiv:2501.00394 v2 · 2024-12-31 · math.AG · 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{HVTUIRHRIKJVPDM2R6QZ5LCZEH}

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	2026-07-05T11:14:52.106411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d674444f14293578d9a8fa19eac5921d195b47dfc9391f88a6c4154c3a67631

Aliases

arxiv: 2501.00394 · arxiv_version: 2501.00394v2 · doi: 10.48550/arxiv.2501.00394 · pith_short_12: HVTUIRHRIKJV · pith_short_16: HVTUIRHRIKJVPDM2 · pith_short_8: HVTUIRHR

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/HVTUIRHRIKJVPDM2R6QZ5LCZEH \
  | 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: 3d674444f14293578d9a8fa19eac5921d195b47dfc9391f88a6c4154c3a67631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6590893fe83e65ca971b0ff80c9f6dc5c66c09885611641b64fe09926e56cb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-31T11:13:20Z",
    "title_canon_sha256": "2bab0f9eb194eedbfac722ff0f0013ffb75e9aaa1768731f30bd5122a9a7fefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00394",
    "kind": "arxiv",
    "version": 2
  }
}