pith. sign in
Pith Number

pith:WAKTX7GY

pith:2013:WAKTX7GYUISEKGEHH4M5P6YFZ7
not attested not anchored not stored refs pending

Strongly representable atom structures and neat embeddings

Mohammed Khaled, Tarek Sayed Ahmed

arxiv:1307.4298 v1 · 2013-07-14 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WAKTX7GYUISEKGEHH4M5P6YFZ7}

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 2026-05-18T03:18:19.186014Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b0153bfcd8a2244518873f19d7fb05cfc04de07ec6f2873e985d8cdf816a2ade

Aliases

arxiv: 1307.4298 · arxiv_version: 1307.4298v1 · doi: 10.48550/arxiv.1307.4298 · pith_short_12: WAKTX7GYUISE · pith_short_16: WAKTX7GYUISEKGEH · pith_short_8: WAKTX7GY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WAKTX7GYUISEKGEHH4M5P6YFZ7 \
  | 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: b0153bfcd8a2244518873f19d7fb05cfc04de07ec6f2873e985d8cdf816a2ade
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e637b4818d572d597e576106ce08ad3a7afd17b78de21aa3872c9338bcbc7bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-14T17:43:42Z",
    "title_canon_sha256": "954a1f47c9aff9ff78df019565a875990c834651d2a3931b4b684c4dce5e5a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4298",
    "kind": "arxiv",
    "version": 1
  }
}