Pith Number

pith:KL2N7XOR

pith:2011:KL2N7XOREN2766BO5ZVFKFHQ5X

not attested not anchored not stored refs pending

Generalized Koszul resolutions

Akiyoshi Sannai, Satoshi Mochizuki

arxiv:1104.4242 v1 · 2011-04-21 · 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{KL2N7XOREN2766BO5ZVFKFHQ5X}

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	2026-05-18T04:23:44.755067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52f4dfddd12375ff782eee6a5514f0edc0482f8e8b4d2b9e6f5782331de3ed9b

Aliases

arxiv: 1104.4242 · arxiv_version: 1104.4242v1 · doi: 10.48550/arxiv.1104.4242 · pith_short_12: KL2N7XOREN27 · pith_short_16: KL2N7XOREN2766BO · pith_short_8: KL2N7XOR

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/KL2N7XOREN2766BO5ZVFKFHQ5X \
  | 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: 52f4dfddd12375ff782eee6a5514f0edc0482f8e8b4d2b9e6f5782331de3ed9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e288e657462728a02e84590cefcd5202f32ef5f5beb7d1a694b86c9563a861d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-21T11:52:57Z",
    "title_canon_sha256": "ab6352825e5c4f868dabb71c712afc4dc8d3b2d0519e29f5b3b383ea09c9a1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4242",
    "kind": "arxiv",
    "version": 1
  }
}