Pith Number

pith:HEGZDPFY

pith:2015:HEGZDPFYZJX6WSHESMOHBM6QX2

not attested not anchored not stored refs pending

Trimming a Gorenstein ideal

Jerzy Weyman, Lars Winther Christensen, Oana Veliche

arxiv:1512.02720 v3 · 2015-12-09 · 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{HEGZDPFYZJX6WSHESMOHBM6QX2}

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	2026-05-18T00:52:31.157746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390d91bcb8ca6feb48e4931c70b3d0bea376277e59aaf06ed2968cec8d250644

Aliases

arxiv: 1512.02720 · arxiv_version: 1512.02720v3 · doi: 10.48550/arxiv.1512.02720 · pith_short_12: HEGZDPFYZJX6 · pith_short_16: HEGZDPFYZJX6WSHE · pith_short_8: HEGZDPFY

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/HEGZDPFYZJX6WSHESMOHBM6QX2 \
  | 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: 390d91bcb8ca6feb48e4931c70b3d0bea376277e59aaf06ed2968cec8d250644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dee4700f79f62f7b52c2a930185e299f4846460e692d0efd05978274c11317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-09T02:02:04Z",
    "title_canon_sha256": "2aea8c163b71f67e96a3aed192f9102b9c04162663e8c19adf2f0796344ac32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02720",
    "kind": "arxiv",
    "version": 3
  }
}