Pith Number

pith:IMIQDHO7

pith:2017:IMIQDHO7EDW5P5NJVHLVUABOYL

not attested not anchored not stored refs pending

On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections

Alexander Kuznetsov, Anton Mellit, John Alexander Cruz Morales, Maxim Smirnov, Nicolas Perrin

arxiv:1705.01819 v1 · 2017-05-04 · math.AG · math.RA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMIQDHO7EDW5P5NJVHLVUABOYL}

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	2026-05-18T00:45:02.239438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4311019ddf20edd7f5a9a9d75a002ec2f98a89dd2743008ca3418b9dedcedc53

Aliases

arxiv: 1705.01819 · arxiv_version: 1705.01819v1 · doi: 10.48550/arxiv.1705.01819 · pith_short_12: IMIQDHO7EDW5 · pith_short_16: IMIQDHO7EDW5P5NJ · pith_short_8: IMIQDHO7

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/IMIQDHO7EDW5P5NJVHLVUABOYL \
  | 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: 4311019ddf20edd7f5a9a9d75a002ec2f98a89dd2743008ca3418b9dedcedc53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259dc516f60209c24cb36c7a401d60aa8281b20f31d4a4dfb9a2dc2cb897d7a1",
    "cross_cats_sorted": [
      "math.RA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-04T12:46:55Z",
    "title_canon_sha256": "f7e40eeb3ba2e569750ca056eaf67d2be046798381ae3c37ca743bd610b9d081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01819",
    "kind": "arxiv",
    "version": 1
  }
}