Pith Number

pith:XOVBS6QI

pith:2020:XOVBS6QIVINQ7FKYSMHZQBXQAS

not attested not anchored not stored refs pending

The Log Product Formula in quantum $K$-theory

Leo Herr, You-Cheng Chou, Yuan-Pin Lee

arxiv:2012.09379 v2 · 2020-12-17 · 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{XOVBS6QIVINQ7FKYSMHZQBXQAS}

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

The log Grothendieck ring of varieties

Receipt and verification

First computed	2026-07-05T06:40:59.941776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbaa197a08aa1b0f9558930f9806f00491e32f8b3d54b54aadc6b32dbdfbb2d1

Aliases

arxiv: 2012.09379 · arxiv_version: 2012.09379v2 · doi: 10.48550/arxiv.2012.09379 · pith_short_12: XOVBS6QIVINQ · pith_short_16: XOVBS6QIVINQ7FKY · pith_short_8: XOVBS6QI

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/XOVBS6QIVINQ7FKYSMHZQBXQAS \
  | 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: bbaa197a08aa1b0f9558930f9806f00491e32f8b3d54b54aadc6b32dbdfbb2d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cac47ba33a2d1cafd4e4df4f8809c0f18ec5cdbfba2fcd8fdab5d1e6331d1ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-17T03:18:26Z",
    "title_canon_sha256": "af4a7b3bb5d11bff1d74eebc93e858fb07825a9418ec8ffc65843f83dcadc95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09379",
    "kind": "arxiv",
    "version": 2
  }
}