Pith Number

pith:D5FZRZVL

pith:2026:D5FZRZVL57RH5BM33KGJQ7TJPN

not attested not anchored not stored refs pending

Cohomology of Trivial Linear Cycle Sets

Christian Valqui, Jorge Guccione, Juan Jos\'e Guccione

arxiv:2606.05520 v1 · 2026-06-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5FZRZVL57RH5BM33KGJQ7TJPN}

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	2026-06-05T01:14:53.570516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4b98e6abefe27e859bda8c987e697b7d70ab43098daf42a10d8811daec5f60

Aliases

arxiv: 2606.05520 · arxiv_version: 2606.05520v1 · doi: 10.48550/arxiv.2606.05520 · pith_short_12: D5FZRZVL57RH · pith_short_16: D5FZRZVL57RH5BM3 · pith_short_8: D5FZRZVL

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/D5FZRZVL57RH5BM33KGJQ7TJPN \
  | 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: 1f4b98e6abefe27e859bda8c987e697b7d70ab43098daf42a10d8811daec5f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b0efbe13346ca4628be63d72dde39906588afe850e844e8987c8fa910610d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T23:49:44Z",
    "title_canon_sha256": "c76a67677d93c7209afd06bd9952493b95410acd081d2b1a043716f5efc8015e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05520",
    "kind": "arxiv",
    "version": 1
  }
}