Pith Number

pith:HK7RM5LN

pith:2013:HK7RM5LNVTEGRQZXIYIYCJDJPR

not attested not anchored not stored refs pending

Designer ideals with high Castelnuovo-Mumford regularity

Brooke Ullery

arxiv:1305.5966 v3 · 2013-05-25 · math.AG · 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{HK7RM5LNVTEGRQZXIYIYCJDJPR}

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	2026-05-18T02:56:52.016934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abf16756dacc868c33746118124697c49e60a8b407ccda155163927d83ecc2f

Aliases

arxiv: 1305.5966 · arxiv_version: 1305.5966v3 · doi: 10.48550/arxiv.1305.5966 · pith_short_12: HK7RM5LNVTEG · pith_short_16: HK7RM5LNVTEGRQZX · pith_short_8: HK7RM5LN

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/HK7RM5LNVTEGRQZXIYIYCJDJPR \
  | 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: 3abf16756dacc868c33746118124697c49e60a8b407ccda155163927d83ecc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4f33a8fa508189cc4054557ae3c3a25b71114a734804451fdf6447cfbf7514",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-25T20:01:49Z",
    "title_canon_sha256": "d0423093444af2f67e94d060b9963c5b7db2b72d22120a614cade514b42e41da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5966",
    "kind": "arxiv",
    "version": 3
  }
}