Pith Number

pith:F62RMZUF

pith:2015:F62RMZUFCER7BLDYI4ZDDNREYY

not attested not anchored not stored refs pending

Permutation-equivariant quantum K-theory V. Toric $q$-hypergeometric functions

Alexander Givental

arxiv:1509.03903 v1 · 2015-09-13 · 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{F62RMZUFCER7BLDYI4ZDDNREYY}

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	2026-05-18T01:33:08.769565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb51666851123f0ac78473231b624c613c37d727facfa757dbd631032448393

Aliases

arxiv: 1509.03903 · arxiv_version: 1509.03903v1 · doi: 10.48550/arxiv.1509.03903 · pith_short_12: F62RMZUFCER7 · pith_short_16: F62RMZUFCER7BLDY · pith_short_8: F62RMZUF

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/F62RMZUFCER7BLDYI4ZDDNREYY \
  | 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: 2fb51666851123f0ac78473231b624c613c37d727facfa757dbd631032448393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8b8ae14bed7ce9a62d133f37efbd236fe5f3840055a9e58e7bcfab76b48225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-13T22:16:20Z",
    "title_canon_sha256": "ceff364e6a4b78f3c983199a3023854dd4f41160430dcbf7263dbe6b8d6124be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03903",
    "kind": "arxiv",
    "version": 1
  }
}