Pith Number

pith:BYDDEC7N

pith:2018:BYDDEC7NTQLGJ4Z4SA4BJJ4F6B

not attested not anchored not stored refs pending

Trace Ideals and the Gorenstein Property

Haydee Lindo, Nina Pande

arxiv:1802.06491 v2 · 2018-02-19 · 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{BYDDEC7NTQLGJ4Z4SA4BJJ4F6B}

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	2026-05-18T00:19:02.351559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e06320bed9c1664f33c903814a785f0506fc578e387f86d3207d152a53f8a4f

Aliases

arxiv: 1802.06491 · arxiv_version: 1802.06491v2 · doi: 10.48550/arxiv.1802.06491 · pith_short_12: BYDDEC7NTQLG · pith_short_16: BYDDEC7NTQLGJ4Z4 · pith_short_8: BYDDEC7N

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/BYDDEC7NTQLGJ4Z4SA4BJJ4F6B \
  | 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: 0e06320bed9c1664f33c903814a785f0506fc578e387f86d3207d152a53f8a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8268761cd96cf7996321fc52b3e1abb6fc11c9ef6307162650255993657d8208",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-19T02:02:36Z",
    "title_canon_sha256": "e064bd4796a0a1b46d1cf41db49be3ca85583d33118675bb37703d8796d07d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06491",
    "kind": "arxiv",
    "version": 2
  }
}