Pith Number

pith:7PQV2O5V

pith:2009:7PQV2O5VHCAKETNDENSMU2D3OT

not attested not anchored not stored refs pending

Quantum cohomology of the Springer resolution

Alexander Braverman, Andrei Okounkov, Davesh Maulik

arxiv:1001.0056 v2 · 2009-12-31 · math.AG · hep-th · 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{7PQV2O5VHCAKETNDENSMU2D3OT}

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	2026-05-18T04:41:25.112202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe15d3bb53880a24da32364ca687b74d2339010456e34948c201f7583461d7f

Aliases

arxiv: 1001.0056 · arxiv_version: 1001.0056v2 · doi: 10.48550/arxiv.1001.0056 · pith_short_12: 7PQV2O5VHCAK · pith_short_16: 7PQV2O5VHCAKETND · pith_short_8: 7PQV2O5V

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/7PQV2O5VHCAKETNDENSMU2D3OT \
  | 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: fbe15d3bb53880a24da32364ca687b74d2339010456e34948c201f7583461d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8fccafcea15842b82f4685ed9813c94c4739801ffe9ebfd9ca1b5847bcb025",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-31T00:16:49Z",
    "title_canon_sha256": "9f0a05b8c5742fe850aab71ca2017d924dafd199d8a05a6cab7fda0499e47adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0056",
    "kind": "arxiv",
    "version": 2
  }
}