Pith Number

pith:3GHTETME

pith:2016:3GHTETMEKNNEDGSWXUNNZIMJII

not attested not anchored not stored refs pending

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

F. Malaspina, G.K. Sankaran

arxiv:1604.04452 v2 · 2016-04-15 · 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{3GHTETMEKNNEDGSWXUNNZIMJII}

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	2026-05-18T00:27:53.334020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98f324d84535a419a56bd1adca189422cde9c1c2f6b447fd3e4b6efd49717d2

Aliases

arxiv: 1604.04452 · arxiv_version: 1604.04452v2 · doi: 10.48550/arxiv.1604.04452 · pith_short_12: 3GHTETMEKNNE · pith_short_16: 3GHTETMEKNNEDGSW · pith_short_8: 3GHTETME

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/3GHTETMEKNNEDGSWXUNNZIMJII \
  | 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: d98f324d84535a419a56bd1adca189422cde9c1c2f6b447fd3e4b6efd49717d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e2af03b13cb8e35fb2ba0fb0275acc4ebe1b180251b5c1e0b3f21276b4492b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-15T12:07:22Z",
    "title_canon_sha256": "7c7a2a23a81745385412070c782450bb0dc9d1a6ee50a802dfb816edb488cd1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04452",
    "kind": "arxiv",
    "version": 2
  }
}