Pith Number

pith:GMWZMGDI

pith:2007:GMWZMGDIHF46YIR6R5C7ZS6BEK

not attested not anchored not stored refs pending

Spherical functors

Rina Anno

arxiv:0711.4409 v6 · 2007-11-28 · math.CT · 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{GMWZMGDIHF46YIR6R5C7ZS6BEK}

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

Spherical Twists for Gorenstein Orders and $G$-Hilb

Receipt and verification

First computed	2026-05-18T03:12:23.076267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332d9618683979ec223e8f45fccbc12287bdd39834fd4b66903c86a3d585b329

Aliases

arxiv: 0711.4409 · arxiv_version: 0711.4409v6 · doi: 10.48550/arxiv.0711.4409 · pith_short_12: GMWZMGDIHF46 · pith_short_16: GMWZMGDIHF46YIR6 · pith_short_8: GMWZMGDI

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/GMWZMGDIHF46YIR6R5C7ZS6BEK \
  | 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: 332d9618683979ec223e8f45fccbc12287bdd39834fd4b66903c86a3d585b329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990690bcbc66dca801ff3506df1351e9a7491f8ee2d809670ca29f75c274424d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-28T02:49:47Z",
    "title_canon_sha256": "e296f6e267444bf6ce1bf6ec84039ac002301d8d8b02b18f2e2469ed377704f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4409",
    "kind": "arxiv",
    "version": 6
  }
}