Pith Number

pith:Y6WPJZHB

pith:2017:Y6WPJZHBO6LDC4FGW7AEREFETQ

not attested not anchored not stored refs pending

Koszul cycles and Golod rings

J\"urgen Herzog, Rasoul Ahangari Maleki

arxiv:1701.06738 v1 · 2017-01-24 · 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{Y6WPJZHBO6LDC4FGW7AEREFETQ}

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	2026-05-18T00:52:12.275149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7acf4e4e177963170a6b7c04890a49c2d04280beb9e1e3c2eb84f46694c97d3

Aliases

arxiv: 1701.06738 · arxiv_version: 1701.06738v1 · doi: 10.48550/arxiv.1701.06738 · pith_short_12: Y6WPJZHBO6LD · pith_short_16: Y6WPJZHBO6LDC4FG · pith_short_8: Y6WPJZHB

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/Y6WPJZHBO6LDC4FGW7AEREFETQ \
  | 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: c7acf4e4e177963170a6b7c04890a49c2d04280beb9e1e3c2eb84f46694c97d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8e1a32a7ebed33c381af19a622aa889f82cdf476bd9be985699714be3199f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-24T05:59:28Z",
    "title_canon_sha256": "37d00583a07dedeccf3881b6a2112bfa23bf44f8725de99edcea3d25c9467d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06738",
    "kind": "arxiv",
    "version": 1
  }
}