Pith Number

pith:CXQVSKZO

pith:2014:CXQVSKZONK2NQQYLV6BEAYIMUP

not attested not anchored not stored refs pending

Distinguishing extension numbers for $\mathbf R^n$ and $S^n$

Alex Lombardi

arxiv:1408.5849 v1 · 2014-08-25 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXQVSKZONK2NQQYLV6BEAYIMUP}

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	2026-05-18T02:44:23.971495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e1592b2e6ab4d8430baf8240610ca3ee538201afbd85acd900850a79c45ed6

Aliases

arxiv: 1408.5849 · arxiv_version: 1408.5849v1 · doi: 10.48550/arxiv.1408.5849 · pith_short_12: CXQVSKZONK2N · pith_short_16: CXQVSKZONK2NQQYL · pith_short_8: CXQVSKZO

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/CXQVSKZONK2NQQYLV6BEAYIMUP \
  | 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: 15e1592b2e6ab4d8430baf8240610ca3ee538201afbd85acd900850a79c45ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207de00ecf8e2a7e85e30fe63e1346620a13414d11fc7f9efdb62be99a05a9e7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T17:58:38Z",
    "title_canon_sha256": "1d11329576d95d2d697aadfbb3ae71a0870519b47a6b6f9774b9ce01afa30869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5849",
    "kind": "arxiv",
    "version": 1
  }
}