Pith Number

pith:7PETYAVY

pith:2011:7PETYAVYFY6ZOFLH3BCTYA7FJT

not attested not anchored not stored refs pending

Quantum cohomology and the Satake isomorphism

L. Manivel, V. Golyshev

arxiv:1106.3120 v1 · 2011-06-15 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PETYAVYFY6ZOFLH3BCTYA7FJT}

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

2 papers in Pith

On Arithmetic Mirror Symmetry for smooth Fano fourfolds

Receipt and verification

First computed	2026-05-18T04:19:54.180252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc93c02b82e3d971567d8453c03e54cf10c72b27a60c3814f30a26f4488168d

Aliases

arxiv: 1106.3120 · arxiv_version: 1106.3120v1 · doi: 10.48550/arxiv.1106.3120 · pith_short_12: 7PETYAVYFY6Z · pith_short_16: 7PETYAVYFY6ZOFLH · pith_short_8: 7PETYAVY

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/7PETYAVYFY6ZOFLH3BCTYA7FJT \
  | 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: fbc93c02b82e3d971567d8453c03e54cf10c72b27a60c3814f30a26f4488168d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e48e959e7afa31b22d6b7cf67365e64b184ce32cc3be634c06db6a2f721056",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-15T23:30:07Z",
    "title_canon_sha256": "298cca6b0026e0542c3b409aadb3e6999798adccac9146b608aaf42e467fa1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3120",
    "kind": "arxiv",
    "version": 1
  }
}