Pith Number

pith:7CWSPECQ

pith:2017:7CWSPECQ32QPKLT6G4P33LPUZT

not attested not anchored not stored refs pending

A characterization of the Macaulay dual generators for quadratic complete intersections

Akihito Wachi, Junzo Watanabe, Tadahito Harima

arxiv:1703.07199 v2 · 2017-03-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CWSPECQ32QPKLT6G4P33LPUZT}

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	2026-05-18T00:47:19.581808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ad279050dea0f52e7e371fbdadf4cce09fd3458f6fbd40d046c0d79bed9f00

Aliases

arxiv: 1703.07199 · arxiv_version: 1703.07199v2 · doi: 10.48550/arxiv.1703.07199 · pith_short_12: 7CWSPECQ32QP · pith_short_16: 7CWSPECQ32QPKLT6 · pith_short_8: 7CWSPECQ

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/7CWSPECQ32QPKLT6G4P33LPUZT \
  | 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: f8ad279050dea0f52e7e371fbdadf4cce09fd3458f6fbd40d046c0d79bed9f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b994a2fe078922cff73090bdb831e04c1ea017dff44e26532fb42b52361e6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-21T13:08:07Z",
    "title_canon_sha256": "a0d74325e12f1cf09ab206872efbdf42ca4843324918e426fd9075aaff0b997a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07199",
    "kind": "arxiv",
    "version": 2
  }
}