Pith Number

pith:TBG74G7G

pith:2014:TBG74G7GO6CQQIRYYDNHYS2BGW

not attested not anchored not stored refs pending

Weighted discrete hypergroups

Ebrahim Samei, Mahmood Alaghmandan

arxiv:1407.4462 v2 · 2014-07-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBG74G7GO6CQQIRYYDNHYS2BGW}

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	2026-05-18T01:22:48.828745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984dfe1be67785082238c0da7c4b4135982d5a6d645bf054dbfc43dc6bd97ebd

Aliases

arxiv: 1407.4462 · arxiv_version: 1407.4462v2 · doi: 10.48550/arxiv.1407.4462 · pith_short_12: TBG74G7GO6CQ · pith_short_16: TBG74G7GO6CQQIRY · pith_short_8: TBG74G7G

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/TBG74G7GO6CQQIRYYDNHYS2BGW \
  | 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: 984dfe1be67785082238c0da7c4b4135982d5a6d645bf054dbfc43dc6bd97ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f74039497662868b0a5d59c122d1e640ad7dcbbab0d9ed48be2595c11b078367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-16T20:00:23Z",
    "title_canon_sha256": "15e46e5e52cbfdb0cd96f9e50af6a6a514379b28d4a556f5babb0078f03d76a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4462",
    "kind": "arxiv",
    "version": 2
  }
}