Pith Number

pith:R6Q5SF64

pith:2013:R6Q5SF646UMOQMU5EYYV7UTMAW

not attested not anchored not stored refs pending

An Application of Macaulay's Estimate to CR Geometry

Dusty Grundmeier, Jennifer Halfpap

arxiv:1304.0237 v1 · 2013-03-31 · math.CV · 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{R6Q5SF646UMOQMU5EYYV7UTMAW}

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	2026-05-18T03:29:25.581706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa1d917dcf518e8329d26315fd26c05ae4e51794be422e8cf0804bf404eec35

Aliases

arxiv: 1304.0237 · arxiv_version: 1304.0237v1 · doi: 10.48550/arxiv.1304.0237 · pith_short_12: R6Q5SF646UMO · pith_short_16: R6Q5SF646UMOQMU5 · pith_short_8: R6Q5SF64

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/R6Q5SF646UMOQMU5EYYV7UTMAW \
  | 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: 8fa1d917dcf518e8329d26315fd26c05ae4e51794be422e8cf0804bf404eec35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6540b5bd35a4ae5538733f09a4740cbd675c6391f4f8654568cb9991790a94ac",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-03-31T17:40:38Z",
    "title_canon_sha256": "526fee55b68479c4a8846c6651c29b5506c83fa3dc41e363a8081e2d20037f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0237",
    "kind": "arxiv",
    "version": 1
  }
}