Pith Number

pith:4ACX4RME

pith:2014:4ACX4RMEEN3SXFAVYVS5FSINUL

not attested not anchored not stored refs pending

Some General Properties of Stein-AG-groupoids and Stein-AG-Test

Amanullah, Imtiaz Ahmad, Muhammad Rashad, Muhammad Shah

arxiv:1403.5422 v4 · 2014-03-21 · 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{4ACX4RMEEN3SXFAVYVS5FSINUL}

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	2026-05-18T01:11:57.977477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0057e458423772b9415c565d2c90da2f3d10d91e8dfa17fcfbff2bb22dcf854

Aliases

arxiv: 1403.5422 · arxiv_version: 1403.5422v4 · doi: 10.48550/arxiv.1403.5422 · pith_short_12: 4ACX4RMEEN3S · pith_short_16: 4ACX4RMEEN3SXFAV · pith_short_8: 4ACX4RME

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/4ACX4RMEEN3SXFAVYVS5FSINUL \
  | 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: e0057e458423772b9415c565d2c90da2f3d10d91e8dfa17fcfbff2bb22dcf854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc434f629aef071323427d9a6ef604e5dabf4a0d334f3f4b18223d9fd77ee3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-21T11:21:15Z",
    "title_canon_sha256": "a61404f74596e9860e12af7dd9dea0c300e973dedff166d0ffa370e2f557a9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5422",
    "kind": "arxiv",
    "version": 4
  }
}