Pith Number

pith:J63VEQAZ

pith:2019:J63VEQAZC7HKN2CFPWAWY4TZQU

not attested not anchored not stored refs pending

On the cap product in Hochschild theory

Marco Armenta

arxiv:1908.02255 v2 · 2019-08-06 · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J63VEQAZC7HKN2CFPWAWY4TZQU}

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	2026-06-19T16:12:43.403620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb752401917cea6e8457d816c7279850196f683f49685dea23eb794dc40f66a

Aliases

arxiv: 1908.02255 · arxiv_version: 1908.02255v2 · doi: 10.48550/arxiv.1908.02255 · pith_short_12: J63VEQAZC7HK · pith_short_16: J63VEQAZC7HKN2CF · pith_short_8: J63VEQAZ

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/J63VEQAZC7HKN2CFPWAWY4TZQU \
  | 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: 4fb752401917cea6e8457d816c7279850196f683f49685dea23eb794dc40f66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f49a98d11c29939fed08eb031cb05d4e8a5f70c6ee05596d1326762c746409d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-08-06T16:50:27Z",
    "title_canon_sha256": "9c42d5958ef3d5a0285a62df1b5bd90b485c32e3265b27799a32c42854e192bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02255",
    "kind": "arxiv",
    "version": 2
  }
}