Pith Number

pith:NR7KML2I

pith:2011:NR7KML2IAAB7KVXKCKF72PON7X

not attested not anchored not stored refs pending

On the uniform equidistribution of closed horospheres in hyperbolic manifolds

Anders S\"odergren

arxiv:1103.3444 v1 · 2011-03-17 · math.DS · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR7KML2IAAB7KVXKCKF72PON7X}

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	2026-05-18T00:40:34.119828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c7ea62f480003f556ea128bfd3dcdfdf1f41f8373828f6287229e16eebfff67

Aliases

arxiv: 1103.3444 · arxiv_version: 1103.3444v1 · doi: 10.48550/arxiv.1103.3444 · pith_short_12: NR7KML2IAAB7 · pith_short_16: NR7KML2IAAB7KVXK · pith_short_8: NR7KML2I

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/NR7KML2IAAB7KVXKCKF72PON7X \
  | 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: 6c7ea62f480003f556ea128bfd3dcdfdf1f41f8373828f6287229e16eebfff67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70cc35d75f4fb58107370563ce977a64d1b6a94438671dcf34b5da51fdbae558",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-17T16:00:20Z",
    "title_canon_sha256": "bf69e1c2c6c4b86b5a8c7c4db2b0769dd6c3b719aba011562d6adcbe864d4bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3444",
    "kind": "arxiv",
    "version": 1
  }
}