Pith Number

pith:O5R3IHOY

pith:2015:O5R3IHOYQQSTMY4PFNT6Q24S46

not attested not anchored not stored refs pending

Candidates for non-zero Betti numbers of monomial ideals

Ali Akbar Yazdan Pour

arxiv:1507.07188 v2 · 2015-07-26 · math.AC · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5R3IHOYQQSTMY4PFNT6Q24S46}

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	2026-05-18T01:11:35.279739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7763b41dd8842536638f2b67e86b92e7b3562b565a809e2e7eba9c95fe4dc718

Aliases

arxiv: 1507.07188 · arxiv_version: 1507.07188v2 · doi: 10.48550/arxiv.1507.07188 · pith_short_12: O5R3IHOYQQST · pith_short_16: O5R3IHOYQQSTMY4P · pith_short_8: O5R3IHOY

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/O5R3IHOYQQSTMY4PFNT6Q24S46 \
  | 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: 7763b41dd8842536638f2b67e86b92e7b3562b565a809e2e7eba9c95fe4dc718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64297a0f06012810325a9bd3f2e417a06f974d8f434bbdc72e0c659f7d0684f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-26T11:23:50Z",
    "title_canon_sha256": "b45fc903ef932b0b74e39b2e5cf1c253dadcd2f105083ff2a994391dd604a2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07188",
    "kind": "arxiv",
    "version": 2
  }
}