Pith Number

pith:S4ONTLXK

pith:2013:S4ONTLXKPSOZJH56RRX55WWE4B

not attested not anchored not stored refs pending

Translate of horospheres and counting problems

Alireza Salehi Golsefidy, Amir Mohammadi

arxiv:1309.2352 v1 · 2013-09-10 · math.DS · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4ONTLXKPSOZJH56RRX55WWE4B}

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	2026-05-18T03:13:44.998039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971cd9aeea7c9d949fbe8c6fdedac4e06107ffacf9031560ff6c2fd493d7e453

Aliases

arxiv: 1309.2352 · arxiv_version: 1309.2352v1 · doi: 10.48550/arxiv.1309.2352 · pith_short_12: S4ONTLXKPSOZ · pith_short_16: S4ONTLXKPSOZJH56 · pith_short_8: S4ONTLXK

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/S4ONTLXKPSOZJH56RRX55WWE4B \
  | 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: 971cd9aeea7c9d949fbe8c6fdedac4e06107ffacf9031560ff6c2fd493d7e453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21403fdca4d10473f746e2ad09ce467e788ba536757fa403e1da4579e4261a8d",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-10T00:47:33Z",
    "title_canon_sha256": "deecdfc4225f3fb48616af7265a49c3c91e2731d36636b14a3c2035170acde2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2352",
    "kind": "arxiv",
    "version": 1
  }
}