Pith Number

pith:WL6AVMAU

pith:2017:WL6AVMAUZ4MMQRINVP7YWBDBR5

not attested not anchored not stored refs pending

An algorithm for computing the Hilbert--Samuel multiplicities and reductions of zero-dimensional ideals of Cohen--Macaulay local rings

Shinichi Tajima, Takafumi Shibuta

arxiv:1710.01435 v2 · 2017-10-04 · 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{WL6AVMAUZ4MMQRINVP7YWBDBR5}

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	2026-05-17T23:41:22.274707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fc0ab014cf18c8450dabff8b04618f70883753f9bb58569fbec66ed19bf98a

Aliases

arxiv: 1710.01435 · arxiv_version: 1710.01435v2 · doi: 10.48550/arxiv.1710.01435 · pith_short_12: WL6AVMAUZ4MM · pith_short_16: WL6AVMAUZ4MMQRIN · pith_short_8: WL6AVMAU

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/WL6AVMAUZ4MMQRINVP7YWBDBR5 \
  | 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: b2fc0ab014cf18c8450dabff8b04618f70883753f9bb58569fbec66ed19bf98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318bac8fe5cbac6e5b2c24598b224dab2a08f24bb0c54773412e3d3c18661c37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-04T01:40:43Z",
    "title_canon_sha256": "9857103a4add55e4eb1c7df339e89c6d5f637480a63e351e90d08bf436b88cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01435",
    "kind": "arxiv",
    "version": 2
  }
}