Pith Number

pith:O6IQKT6Q

pith:2015:O6IQKT6QBKQRUNKBUN2PBNWNZQ

not attested not anchored not stored refs pending

On the Ext Ring of Koszul Rings

Adrian Manea

arxiv:1506.00387 v3 · 2015-06-01 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6IQKT6QBKQRUNKBUN2PBNWNZQ}

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	2026-05-18T01:33:58.296514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7791054fd00aa11a3541a374f0b6cdcc1bad73430db3d8f8ef28c82f2822edfc

Aliases

arxiv: 1506.00387 · arxiv_version: 1506.00387v3 · doi: 10.48550/arxiv.1506.00387 · pith_short_12: O6IQKT6QBKQR · pith_short_16: O6IQKT6QBKQRUNKB · pith_short_8: O6IQKT6Q

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/O6IQKT6QBKQRUNKBUN2PBNWNZQ \
  | 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: 7791054fd00aa11a3541a374f0b6cdcc1bad73430db3d8f8ef28c82f2822edfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984b9e45057cf9bfad9b18b3f97c15a8058eec9517f6374a77c87fa19c6f7d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-06-01T08:37:12Z",
    "title_canon_sha256": "a43492415094940034f7fd26431c1cdbbf1edd58efd253a7216b4dd9d7004d53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00387",
    "kind": "arxiv",
    "version": 3
  }
}