Pith Number

pith:BC2YSCRM

pith:2019:BC2YSCRMDNZMVJ6Y76SDYNC5Q7

not attested not anchored not stored refs pending

Equivalence of the categories of group triples and of hypergroups over the group

Samuel Dalalyan

arxiv:1908.01360 v1 · 2019-08-04 · math.CT · 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{BC2YSCRMDNZMVJ6Y76SDYNC5Q7}

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	2026-07-04T23:51:29.567133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b5890a2c1b72caa7d8ffa43c345d87d7d2b0e9d9fc17a977fbf843813f813d

Aliases

arxiv: 1908.01360 · arxiv_version: 1908.01360v1 · doi: 10.48550/arxiv.1908.01360 · pith_short_12: BC2YSCRMDNZM · pith_short_16: BC2YSCRMDNZMVJ6Y · pith_short_8: BC2YSCRM

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/BC2YSCRMDNZMVJ6Y76SDYNC5Q7 \
  | 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: 08b5890a2c1b72caa7d8ffa43c345d87d7d2b0e9d9fc17a977fbf843813f813d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca27f2550d20e3fa292a2eaa50b593e716a4e44e2e1cde4c6430471ed24a1b5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-04T15:24:52Z",
    "title_canon_sha256": "0b44458904289282605b1325299af4bfa4a243b26eb07d5e3f926bc50c888871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01360",
    "kind": "arxiv",
    "version": 1
  }
}