Pith Number

pith:MIIVQO46

pith:2019:MIIVQO46KELLQPRJ6UOEI3AB7F

not attested not anchored not stored refs pending

On the Betti numbers and Rees algebras of ideals with linear powers

Lisa Nicklasson

arxiv:1904.01995 v2 · 2019-04-03 · 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{MIIVQO46KELLQPRJ6UOEI3AB7F}

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	2026-07-05T02:41:26.423233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6211583b9e5116b83e29f51c446c01f941c59d44d59faf17933f27c7964d4c41

Aliases

arxiv: 1904.01995 · arxiv_version: 1904.01995v2 · doi: 10.48550/arxiv.1904.01995 · pith_short_12: MIIVQO46KELL · pith_short_16: MIIVQO46KELLQPRJ · pith_short_8: MIIVQO46

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/MIIVQO46KELLQPRJ6UOEI3AB7F \
  | 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: 6211583b9e5116b83e29f51c446c01f941c59d44d59faf17933f27c7964d4c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0e5289e3d7040ae234ac33fa1cd642b960d1370c71224eca0cf961c87d0cac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-04-03T13:31:21Z",
    "title_canon_sha256": "dcac7b27a3ae58dfbfa0a3bf8e7b92fdce0d2eb7519e73f3b189c266f7de3903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01995",
    "kind": "arxiv",
    "version": 2
  }
}