Pith Number

pith:UF7SOYPS

pith:2009:UF7SOYPSG3ZSTTDFQVO3XJNDTQ

not attested not anchored not stored refs pending

Hochster's theta invariant and the Hodge-Riemann bilinear relations

Greg Piepmeyer, Mark E. Walker, Sandra Spiroff, W. Frank Moore

arxiv:0910.1289 v2 · 2009-10-07 · 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{UF7SOYPSG3ZSTTDFQVO3XJNDTQ}

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	2026-05-18T04:41:14.203060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a17f2761f236f329cc65855dbba5a39c348a5017160cda017730fcc45f7b8ea3

Aliases

arxiv: 0910.1289 · arxiv_version: 0910.1289v2 · doi: 10.48550/arxiv.0910.1289 · pith_short_12: UF7SOYPSG3ZS · pith_short_16: UF7SOYPSG3ZSTTDF · pith_short_8: UF7SOYPS

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/UF7SOYPSG3ZSTTDFQVO3XJNDTQ \
  | 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: a17f2761f236f329cc65855dbba5a39c348a5017160cda017730fcc45f7b8ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a663b77d35cec46c375ff2268b23b6e00c136db9e55ba7ebf11d27c07ae988",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-10-07T15:33:34Z",
    "title_canon_sha256": "7e192a06c033894730dffe387dc13b3f0f0889d23564d4630055724fc2f49319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1289",
    "kind": "arxiv",
    "version": 2
  }
}