Pith Number

pith:G7VYPMUI

pith:2006:G7VYPMUIB4DC2QRXL2WTUOAUUC

not attested not anchored not stored refs pending

Flops, motives and invariance of quantum rings

Chin-Lung Wang, Hui-Wen Lin, Y.-P. Lee

arxiv:math/0608370 v2 · 2006-08-15 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7VYPMUIB4DC2QRXL2WTUOAUUC}

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	2026-05-18T04:11:18.308756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37eb87b2880f062d42375ead3a3814a0b88d05db9404d6cc556f4055e23e7eb9

Aliases

arxiv: math/0608370 · arxiv_version: math/0608370v2 · doi: 10.48550/arxiv.math/0608370 · pith_short_12: G7VYPMUIB4DC · pith_short_16: G7VYPMUIB4DC2QRX · pith_short_8: G7VYPMUI

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/G7VYPMUIB4DC2QRXL2WTUOAUUC \
  | 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: 37eb87b2880f062d42375ead3a3814a0b88d05db9404d6cc556f4055e23e7eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519c983b571199f2c4bb292a51328f8c2aa02b6b0e74062c423522a8cf0bb6db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-08-15T02:56:40Z",
    "title_canon_sha256": "75ab4ff5dff96ae6a3f31ed36c0ea49aca4accb13e262b4b7b404a897b5b10c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608370",
    "kind": "arxiv",
    "version": 2
  }
}