Pith Number

pith:ST4VVHQU

pith:2005:ST4VVHQUHDA5XS5TZW3PAJ6IUX

not attested not anchored not stored refs pending

The geometry of Hilbert functions

Juan C. Migliore

arxiv:math/0502145 v1 · 2005-02-07 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ST4VVHQUHDA5XS5TZW3PAJ6IUX}

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

1 paper in Pith

Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity

Receipt and verification

First computed	2026-07-04T14:39:35.610358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f95a9e1438c1dbcbb3cdb6f027c8a5faad8a9dd4702ebd4599b51edfa32d76

Aliases

arxiv: math/0502145 · arxiv_version: math/0502145v1 · doi: 10.48550/arxiv.math/0502145 · pith_short_12: ST4VVHQUHDA5 · pith_short_16: ST4VVHQUHDA5XS5T · pith_short_8: ST4VVHQU

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/ST4VVHQUHDA5XS5TZW3PAJ6IUX \
  | 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: 94f95a9e1438c1dbcbb3cdb6f027c8a5faad8a9dd4702ebd4599b51edfa32d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329bcaec8f3e9cb5cac80c59d337fa2953f0bd3d808f3a205f1a994897f93a62",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-02-07T20:22:51Z",
    "title_canon_sha256": "ceb0a5a42a142d38ce5ce6aec6730304b0d0ae0b6e6ef45f556413576ded52f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502145",
    "kind": "arxiv",
    "version": 1
  }
}