Pith Number

pith:KTG4VLIN

pith:2025:KTG4VLIN2DG4KXBRMABRONSHKT

not attested not anchored not stored refs pending

Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology

Andrea Solotar, Claude Cibils, Eduardo N. Marcos, Marcelo Lanzilotta

arxiv:2509.05135 v2 · 2025-09-05 · math.KT · math.RA · 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{KTG4VLIN2DG4KXBRMABRONSHKT}

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	2026-06-19T16:11:12.712587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cdcaad0dd0cdc55c31600317364754ff1b066a97c2360d93f3883a798f6c75

Aliases

arxiv: 2509.05135 · arxiv_version: 2509.05135v2 · doi: 10.48550/arxiv.2509.05135 · pith_short_12: KTG4VLIN2DG4 · pith_short_16: KTG4VLIN2DG4KXBR · pith_short_8: KTG4VLIN

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/KTG4VLIN2DG4KXBRMABRONSHKT \
  | 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: 54cdcaad0dd0cdc55c31600317364754ff1b066a97c2360d93f3883a798f6c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95bbbe66b480af8369d2c2dce6952cb91792688220af7d8a5fa7d6914db91210",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-09-05T14:24:23Z",
    "title_canon_sha256": "d37953bc00bef67e0e27d7a413295096417ce1b18373a3172f41e197cc77ebbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05135",
    "kind": "arxiv",
    "version": 2
  }
}