Pith Number

pith:I2KORELI

pith:2000:I2KORELIL453AIJEL76CGPRQAZ

not attested not anchored not stored refs pending

Hilbert schemes, polygraphs, and the Macdonald positivity conjecture

Mark Haiman

arxiv:math/0010246 v2 · 2000-10-25 · math.AG · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2KORELIL453AIJEL76CGPRQAZ}

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.

Cited by

2 papers in Pith

Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points

Defects, nested instantons and comet shaped quivers

Receipt and verification

First computed	2026-07-04T14:34:53.137991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4694e891685f3bb021245ffc233e300653c029518705704b36082df93dfa1e29

Aliases

arxiv: math/0010246 · arxiv_version: math/0010246v2 · doi: 10.48550/arxiv.math/0010246 · pith_short_12: I2KORELIL453 · pith_short_16: I2KORELIL453AIJE · pith_short_8: I2KORELI

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/I2KORELIL453AIJEL76CGPRQAZ \
  | 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: 4694e891685f3bb021245ffc233e300653c029518705704b36082df93dfa1e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a25519b70235d5d9be16c5647ae0228ecba20ce4ccbf94edade6b0588d5948",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-25T23:20:05Z",
    "title_canon_sha256": "d157e0f6bfede078784e0432ad7595c1d17d2cf29c9c1c6892f5bfb0d1a768e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010246",
    "kind": "arxiv",
    "version": 2
  }
}