Pith Number

pith:FFPTHYDB

pith:2010:FFPTHYDBTVUR6SJOB2AE2U3ARJ

not attested not anchored not stored refs pending

Characterizations of {\Gamma}-AG^{**}-groupoids by their {\Gamma}-ideals

Madad Khan, Naveed Ahmad

arxiv:1011.1362 v2 · 2010-11-05 · 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{FFPTHYDBTVUR6SJOB2AE2U3ARJ}

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	2026-05-18T04:33:49.514148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295f33e0619d691f492e0e804d53608a51a9e7738efd6ff1f70ac0db9f721ecb

Aliases

arxiv: 1011.1362 · arxiv_version: 1011.1362v2 · doi: 10.48550/arxiv.1011.1362 · pith_short_12: FFPTHYDBTVUR · pith_short_16: FFPTHYDBTVUR6SJO · pith_short_8: FFPTHYDB

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/FFPTHYDBTVUR6SJOB2AE2U3ARJ \
  | 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: 295f33e0619d691f492e0e804d53608a51a9e7738efd6ff1f70ac0db9f721ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79062ebab73a4c90f7c0a59d12aa8463493921876fc57f78aa19501890b0b310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-05T10:43:32Z",
    "title_canon_sha256": "b636c90679a6d3b0da2013effe8d9f3a1071bb0f6b1837185628bd4b80288675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1362",
    "kind": "arxiv",
    "version": 2
  }
}