Pith Number

pith:NUYW4NU5

pith:2012:NUYW4NU5IMAFKMRB2D5DXRQ6IU

not attested not anchored not stored refs pending

Tate and Tate-Hochschild Cohomology for finite dimensional Hopf Algebras

Van C. Nguyen

arxiv:1209.4888 v2 · 2012-09-21 · math.RA · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUYW4NU5IMAFKMRB2D5DXRQ6IU}

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	2026-05-18T03:12:57.926348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d316e369d4300553221d0fa3bc61e452d54983cd84f2f2e4fbd28f2558fa899

Aliases

arxiv: 1209.4888 · arxiv_version: 1209.4888v2 · doi: 10.48550/arxiv.1209.4888 · pith_short_12: NUYW4NU5IMAF · pith_short_16: NUYW4NU5IMAFKMRB · pith_short_8: NUYW4NU5

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/NUYW4NU5IMAFKMRB2D5DXRQ6IU \
  | 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: 6d316e369d4300553221d0fa3bc61e452d54983cd84f2f2e4fbd28f2558fa899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e5dd21a575999b47b26817fae7944a3ac55e8e701165922c3b7e25ecb9f8b0",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-21T19:20:56Z",
    "title_canon_sha256": "f97f0cfbf4f47f795572f1dd91c8a1099e1df42cf04e882336dc0e9c97b04186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4888",
    "kind": "arxiv",
    "version": 2
  }
}