Pith Number

pith:5TBHWAHA

pith:2013:5TBHWAHAFACPLMY6PMREM2RU5M

not attested not anchored not stored refs pending

Subadditivity of syzygies of Koszul algebras

Aldo Conca, Luchezar L. Avramov, Srikanth B. Iyengar

arxiv:1308.6811 v1 · 2013-08-30 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TBHWAHAFACPLMY6PMREM2RU5M}

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	2026-05-18T03:14:30.843257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc27b00e02804f5b31e7b22466a34eb2fed843e98ef94b7e1e1a8eaec2bf41e

Aliases

arxiv: 1308.6811 · arxiv_version: 1308.6811v1 · doi: 10.48550/arxiv.1308.6811 · pith_short_12: 5TBHWAHAFACP · pith_short_16: 5TBHWAHAFACPLMY6 · pith_short_8: 5TBHWAHA

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/5TBHWAHAFACPLMY6PMREM2RU5M \
  | 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: ecc27b00e02804f5b31e7b22466a34eb2fed843e98ef94b7e1e1a8eaec2bf41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4b126ee3dd824a0edb1eb97fd553576224957e986ba0776aff9e13c12dc7a8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-30T17:56:58Z",
    "title_canon_sha256": "1b7cf00eaf59c415d57deb425d17b4d86769bafaabb4aa706cda9665e9d40fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6811",
    "kind": "arxiv",
    "version": 1
  }
}