Pith Number

pith:YXG6F3XV

pith:2015:YXG6F3XVHB7PPR2GUHRCQZDPJ4

not attested not anchored not stored refs pending

Koszul Calculus

Andrea Solotar, Roland Berger, Thierry Lambre

arxiv:1512.00183 v3 · 2015-12-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXG6F3XVHB7PPR2GUHRCQZDPJ4}

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	2026-05-18T00:42:07.856373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5cde2eef5387ef7c746a1e228646f4f2582da232fed4025162a7686e0ce60c1

Aliases

arxiv: 1512.00183 · arxiv_version: 1512.00183v3 · doi: 10.48550/arxiv.1512.00183 · pith_short_12: YXG6F3XVHB7P · pith_short_16: YXG6F3XVHB7PPR2G · pith_short_8: YXG6F3XV

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/YXG6F3XVHB7PPR2GUHRCQZDPJ4 \
  | 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: c5cde2eef5387ef7c746a1e228646f4f2582da232fed4025162a7686e0ce60c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbb040d87a1868a0783f774d06b9d63a98e046445f49b0ee8187bf619f65dcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-01T09:15:20Z",
    "title_canon_sha256": "b614db009f05bcf22960ca9fd93d66cb51b155adccc952d7b5b8d5aa0aaa6894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00183",
    "kind": "arxiv",
    "version": 3
  }
}