Pith Number

pith:6OUOJMV2

pith:2017:6OUOJMV2NZDGWSQZVSDIJMDMSH

not attested not anchored not stored refs pending

Linkage of ideals over a module

Khadijeh Sayyari, Maryam Jahangiri

arxiv:1709.03268 v3 · 2017-09-11 · 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{6OUOJMV2NZDGWSQZVSDIJMDMSH}

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	2026-05-18T00:03:19.498656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a8e4b2ba6e466b4a19ac8684b06c91f6ad8fb0e735b4988baba4af963b645b

Aliases

arxiv: 1709.03268 · arxiv_version: 1709.03268v3 · doi: 10.48550/arxiv.1709.03268 · pith_short_12: 6OUOJMV2NZDG · pith_short_16: 6OUOJMV2NZDGWSQZ · pith_short_8: 6OUOJMV2

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/6OUOJMV2NZDGWSQZVSDIJMDMSH \
  | 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: f3a8e4b2ba6e466b4a19ac8684b06c91f6ad8fb0e735b4988baba4af963b645b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b702e1a7a0e27c12fe1ea14b87499ae84be03ca93ed577f700d396642bf9b03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-11T07:20:09Z",
    "title_canon_sha256": "32f2db796b811e5f357b60e49703b9a971870153ef0c2d75baae6bd90f768cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03268",
    "kind": "arxiv",
    "version": 3
  }
}