Pith Number

pith:VQOJRRTF

pith:2019:VQOJRRTFNERPIFN2BXBKS7DGFV

not attested not anchored not stored refs pending

Weak comp algebras and cup products in secondary Hochschild cohomology of entwining structures

Abhishek Banerjee, Anita Naolekar, Mamta Balodi

arxiv:1909.05476 v4 · 2019-09-12 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQOJRRTFNERPIFN2BXBKS7DGFV}

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	2026-07-05T02:40:25.655719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1c98c6656922f415ba0dc2a97c662d60929cb17991046ec350b3d3dfb7ccb9

Aliases

arxiv: 1909.05476 · arxiv_version: 1909.05476v4 · doi: 10.48550/arxiv.1909.05476 · pith_short_12: VQOJRRTFNERP · pith_short_16: VQOJRRTFNERPIFN2 · pith_short_8: VQOJRRTF

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/VQOJRRTFNERPIFN2BXBKS7DGFV \
  | 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: ac1c98c6656922f415ba0dc2a97c662d60929cb17991046ec350b3d3dfb7ccb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa15f6051a79dac1876f4e35d8c13c750d0d4ef355ef97c62437158068146f8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-09-12T06:37:39Z",
    "title_canon_sha256": "ef34b9e26474a21e054e59cf733ac5b4a74133a0362e60ef9561c7898f03ef1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05476",
    "kind": "arxiv",
    "version": 4
  }
}