Pith Number

pith:BNVC2USN

pith:2000:BNVC2USNBBXMFM45ACQ5G74D46

not attested not anchored not stored refs pending

On the WDVV-equation in quantum K-theory

Alexander B. Givental

arxiv:math/0003158 v1 · 2000-03-25 · 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{BNVC2USNBBXMFM45ACQ5G74D46}

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.

Cited by

1 paper in Pith

Quantum K-theory levels in physics and math

Receipt and verification

First computed	2026-07-04T14:34:25.588391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6a2d524d086ec2b39d00a1d37f83e78d0bb78e37bdec12af86bd464f6caa4b

Aliases

arxiv: math/0003158 · arxiv_version: math/0003158v1 · doi: 10.48550/arxiv.math/0003158 · pith_short_12: BNVC2USNBBXM · pith_short_16: BNVC2USNBBXMFM45 · pith_short_8: BNVC2USN

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/BNVC2USNBBXMFM45ACQ5G74D46 \
  | 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: 0b6a2d524d086ec2b39d00a1d37f83e78d0bb78e37bdec12af86bd464f6caa4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1303f7194febcc7d63e06c9baaff13373006732d92eb01d71a948801406063",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-03-25T00:15:18Z",
    "title_canon_sha256": "ac627fdc7f4fc57b35159d7cbfe58e2f1acf5764d9120a1437b71234f25a91bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003158",
    "kind": "arxiv",
    "version": 1
  }
}