Pith Number

pith:WGXJ6434

pith:2006:WGXJ6434UUGC6GGO6CGU5DTVJ5

not attested not anchored not stored refs pending

Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani

Bumsig Kim, Claude Sabbah

arxiv:math/0611475 v3 · 2006-11-15 · 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{WGXJ6434UUGC6GGO6CGU5DTVJ5}

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	2026-05-18T04:32:09.863198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ae9f737ca50c2f18cef08d4e8e754f52c2e512a959ff4f33853e6723b571a5

Aliases

arxiv: math/0611475 · arxiv_version: math/0611475v3 · doi: 10.48550/arxiv.math/0611475 · pith_short_12: WGXJ6434UUGC · pith_short_16: WGXJ6434UUGC6GGO · pith_short_8: WGXJ6434

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/WGXJ6434UUGC6GGO6CGU5DTVJ5 \
  | 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: b1ae9f737ca50c2f18cef08d4e8e754f52c2e512a959ff4f33853e6723b571a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4697138d62d25df35463d976aaedeed07c2ef1936bdb0e6335af399933c91d5a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-15T17:37:30Z",
    "title_canon_sha256": "43a0854c6cf264aa61f4a222c9cef34fb59f3e5d5fc0a69d5b8fb30610bf4dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611475",
    "kind": "arxiv",
    "version": 3
  }
}