Pith Number

pith:E2M3TSVX

pith:2019:E2M3TSVXWRIQGAK3IYTOXAXUZ3

not attested not anchored not stored refs pending

The small quantum cohomology of the Cayley Grassmannian

Laurent Manivel (IMT), Vladimiro Benedetti (PSL)

arxiv:1907.07511 v1 · 2019-07-17 · 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{E2M3TSVXWRIQGAK3IYTOXAXUZ3}

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	2026-05-17T23:40:21.953938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2699b9cab7b45103015b4626eb82f4cec50a31dd07fc192ab2b245e2b7ea1480

Aliases

arxiv: 1907.07511 · arxiv_version: 1907.07511v1 · doi: 10.48550/arxiv.1907.07511 · pith_short_12: E2M3TSVXWRIQ · pith_short_16: E2M3TSVXWRIQGAK3 · pith_short_8: E2M3TSVX

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/E2M3TSVXWRIQGAK3IYTOXAXUZ3 \
  | 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: 2699b9cab7b45103015b4626eb82f4cec50a31dd07fc192ab2b245e2b7ea1480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa7d8fe83da476be1d1b8c5433d8c0bebaddb8793a3d9ce3e64b73b106419e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-17T13:36:31Z",
    "title_canon_sha256": "1e74833e2b58cf211e271bccc73337a8ac9466ed56063dfe891fa93c2a60afaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07511",
    "kind": "arxiv",
    "version": 1
  }
}