Pith Number

pith:Y37X5UDV

pith:2001:Y37X5UDV2FJWI53XZ3E6KUVOFW

not attested not anchored not stored refs pending

Quantum K-Theory I: Foundations

Y.-P. Lee

arxiv:math/0105014 v4 · 2001-05-02 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y37X5UDV2FJWI53XZ3E6KUVOFW}

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	2026-07-05T03:47:37.505596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ff7ed075d153647777cec9e552ae2d8e480463525f1ba865e626c6f7f597b1

Aliases

arxiv: math/0105014 · arxiv_version: math/0105014v4 · doi: 10.48550/arxiv.math/0105014 · pith_short_12: Y37X5UDV2FJW · pith_short_16: Y37X5UDV2FJWI53X · pith_short_8: Y37X5UDV

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/Y37X5UDV2FJWI53XZ3E6KUVOFW \
  | 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: c6ff7ed075d153647777cec9e552ae2d8e480463525f1ba865e626c6f7f597b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f3c24c1809bdd987786004df6a58f804ce5252e3dca2b431df60ad7fdbca66",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2001-05-02T18:59:57Z",
    "title_canon_sha256": "265a605721a6620d0d0f56e280b62c2fd6eb433f4ded2d6e15ab0d254d4d0933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105014",
    "kind": "arxiv",
    "version": 4
  }
}