Pith Number

pith:G3QHSI24

pith:2009:G3QHSI24O2U4YJQ64HQ6CVSH74

not attested not anchored not stored refs pending

The quantum differential equation of the Hilbert scheme of points in the plane

Andrei Okounkov, Rahul Pandharipande

arxiv:0906.3587 v2 · 2009-06-19 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3QHSI24O2U4YJQ64HQ6CVSH74}

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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	2026-05-17T23:43:54.533351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e079235c76a9cc261ee1e1e15647ff322046e902d78a157b17803991e3e373

Aliases

arxiv: 0906.3587 · arxiv_version: 0906.3587v2 · doi: 10.48550/arxiv.0906.3587 · pith_short_12: G3QHSI24O2U4 · pith_short_16: G3QHSI24O2U4YJQ6 · pith_short_8: G3QHSI24

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/G3QHSI24O2U4YJQ64HQ6CVSH74 \
  | 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: 36e079235c76a9cc261ee1e1e15647ff322046e902d78a157b17803991e3e373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6350afc8e20574b5efb1477acbfe971623dbaaa315470a81a60dabb944dfa7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-19T07:15:03Z",
    "title_canon_sha256": "29831c12787ba03394a813c18983eeba60e41a1f96a17ad03fb79545644febb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3587",
    "kind": "arxiv",
    "version": 2
  }
}