Pith Number

pith:3RRXGWBF

pith:2022:3RRXGWBFPHGKRN5AT32RW3P6MK

not attested not anchored not stored refs pending

On Generators and Relations of the Rational Cohomology of Hilbert Schemes

Alexander Mangulad Christgau, Andrea Bianchi, Jonathan Sejr Pedersen

arxiv:2201.13353 v2 · 2022-01-31 · math.AC · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RRXGWBFPHGKRN5AT32RW3P6MK}

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	2026-07-05T06:04:49.341844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6373582579cca8b7a09ef51b6dfe629e043213561ff834984b8be243837d67

Aliases

arxiv: 2201.13353 · arxiv_version: 2201.13353v2 · doi: 10.48550/arxiv.2201.13353 · pith_short_12: 3RRXGWBFPHGK · pith_short_16: 3RRXGWBFPHGKRN5A · pith_short_8: 3RRXGWBF

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/3RRXGWBFPHGKRN5AT32RW3P6MK \
  | 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: dc6373582579cca8b7a09ef51b6dfe629e043213561ff834984b8be243837d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d7da1c954c3f5f659fa287e68c26ef9dee95fb2d64f593a82f7a40c36cc933",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-01-31T17:02:39Z",
    "title_canon_sha256": "d56a28d7b9c5ea41b9d33c6936dc473f9d754eca2677de00808373960f8b40dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.13353",
    "kind": "arxiv",
    "version": 2
  }
}