Pith Number

pith:YTW4ZDWZ

pith:2013:YTW4ZDWZRLQ2LZFOP5RMRU2PPR

not attested not anchored not stored refs pending

For finite n\geq 3, and k\geq 4, the variety SNr_n\CA_{n+k} is not atom canonical

Tarek Sayed Ahmed

arxiv:1306.1463 v1 · 2013-06-04 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTW4ZDWZRLQ2LZFOP5RMRU2PPR}

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	2026-05-18T03:21:34.143851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4edcc8ed98ae1a5e4ae7f62c8d34f7c51027a321fea23bfb9cdb63fe7965a8c

Aliases

arxiv: 1306.1463 · arxiv_version: 1306.1463v1 · doi: 10.48550/arxiv.1306.1463 · pith_short_12: YTW4ZDWZRLQ2 · pith_short_16: YTW4ZDWZRLQ2LZFO · pith_short_8: YTW4ZDWZ

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/YTW4ZDWZRLQ2LZFOP5RMRU2PPR \
  | 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: c4edcc8ed98ae1a5e4ae7f62c8d34f7c51027a321fea23bfb9cdb63fe7965a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90699cea3db4a87b21c0315267136816d138d735af92d70f23874be6e4a0ec78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-04T15:34:45Z",
    "title_canon_sha256": "f9d4c8cac442d8ff386b42f103603304e76f7fb582f8c0145d3dd7b7fcbeca7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1463",
    "kind": "arxiv",
    "version": 1
  }
}