Pith Number

pith:ZBZYSJHZ

pith:2014:ZBZYSJHZUZGCIJO77ZDRF3XFD4

not attested not anchored not stored refs pending

Dimension Functions on the Spectrum over Bounded Geodesics and Applications to Diophantine Approximation

Steffen Weil

arxiv:1403.7015 v2 · 2014-03-27 · math.DS · math.MG · 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{ZBZYSJHZUZGCIJO77ZDRF3XFD4}

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	2026-05-18T02:43:26.048868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8738924f9a64c2425dffe4712eee51f00e2860f5a123b307f47db57356a5dc8

Aliases

arxiv: 1403.7015 · arxiv_version: 1403.7015v2 · doi: 10.48550/arxiv.1403.7015 · pith_short_12: ZBZYSJHZUZGC · pith_short_16: ZBZYSJHZUZGCIJO7 · pith_short_8: ZBZYSJHZ

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/ZBZYSJHZUZGCIJO77ZDRF3XFD4 \
  | 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: c8738924f9a64c2425dffe4712eee51f00e2860f5a123b307f47db57356a5dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d8e4bce6774ea4258fbf22fe3aea227f2818252c41ca0e5c53dec723a4c43a",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-27T13:14:43Z",
    "title_canon_sha256": "028130eae343486a20c72831b68d552e7c766ac3fcf9e976bcb229cb827d183b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7015",
    "kind": "arxiv",
    "version": 2
  }
}