Pith Number

pith:MFHMIWJX

pith:2019:MFHMIWJXHQSG7SYGLENDPATUQ5

not attested not anchored not stored refs pending

The third partial cohomology group and existence of extensions of semilattices of groups by groups

Mayumi Makuta, Mikhailo Dokuchaev, Mykola Khrypchenko

arxiv:1909.00650 v2 · 2019-09-02 · 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{MFHMIWJXHQSG7SYGLENDPATUQ5}

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	2026-07-05T00:39:38.184962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614ec459373c246fcb06591a378274876da446f8a666d520451bcc540eb15e10

Aliases

arxiv: 1909.00650 · arxiv_version: 1909.00650v2 · doi: 10.48550/arxiv.1909.00650 · pith_short_12: MFHMIWJXHQSG · pith_short_16: MFHMIWJXHQSG7SYG · pith_short_8: MFHMIWJX

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/MFHMIWJXHQSG7SYGLENDPATUQ5 \
  | 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: 614ec459373c246fcb06591a378274876da446f8a666d520451bcc540eb15e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4587a1362d73a56570709f22733f77fd06c2fd7ebf74f4bff0227e73b23feee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-09-02T10:21:59Z",
    "title_canon_sha256": "669d668f88148b1fb54871baafcb8673403848e3c31e09aa2a240621bb8b9d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00650",
    "kind": "arxiv",
    "version": 2
  }
}