Pith Number

pith:TYUIBTGX

pith:2020:TYUIBTGX7E23FKTIXJBQYUI4AF

not attested not anchored not stored refs pending

Cup product on Hochschild cohomology of a family of quiver algebras

Tolulope Oke

arxiv:2004.00780 v1 · 2020-04-02 · math.RA · 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{TYUIBTGX7E23FKTIXJBQYUI4AF}

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	2026-07-05T00:52:20.643447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2880ccd7f935b2aa68ba430c511c01728653e49f316f5b893d25395ccb2a77

Aliases

arxiv: 2004.00780 · arxiv_version: 2004.00780v1 · doi: 10.48550/arxiv.2004.00780 · pith_short_12: TYUIBTGX7E23 · pith_short_16: TYUIBTGX7E23FKTI · pith_short_8: TYUIBTGX

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/TYUIBTGX7E23FKTIXJBQYUI4AF \
  | 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: 9e2880ccd7f935b2aa68ba430c511c01728653e49f316f5b893d25395ccb2a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2efa2869afe41f1c07314be6292bfa8456d50005a64f0ffe4074369def751366",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-04-02T02:47:02Z",
    "title_canon_sha256": "1bd44c7174c861a0cd181a5510c03bf9a646550c55cd1478026396f233d06c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00780",
    "kind": "arxiv",
    "version": 1
  }
}