Pith Number

pith:FDHHQI63

pith:2015:FDHHQI63FIVCFND6KH77KF2QPX

not attested not anchored not stored refs pending

Dual space and hyperdimension of compact hypergroups

Mahmood Alaghmandan, Massoud Amini

arxiv:1505.01409 v3 · 2015-05-06 · 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{FDHHQI63FIVCFND6KH77KF2QPX}

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	2026-05-18T01:15:58.643350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ce7823db2a2a22b47e51fff517507dea065ab6fa01f3638497a7cdb28d8558

Aliases

arxiv: 1505.01409 · arxiv_version: 1505.01409v3 · doi: 10.48550/arxiv.1505.01409 · pith_short_12: FDHHQI63FIVC · pith_short_16: FDHHQI63FIVCFND6 · pith_short_8: FDHHQI63

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/FDHHQI63FIVCFND6KH77KF2QPX \
  | 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: 28ce7823db2a2a22b47e51fff517507dea065ab6fa01f3638497a7cdb28d8558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeae223b095dfbab3a78ee64dc0f148a0075bd1cd940fb48f85347683485441d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-05-06T15:52:20Z",
    "title_canon_sha256": "55d527d3bbe3465eca7d4fe3780b3f47462da9b633da8d120a7aa2f417a65fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01409",
    "kind": "arxiv",
    "version": 3
  }
}