Pith Number

pith:5WSJULWH

pith:2016:5WSJULWHEOXIBFUAYMXGLXHSH2

not attested not anchored not stored refs pending

The fractal nature of an approximate prime counting function

Dimitris Vartziotis, Joachim Wipper

arxiv:1611.01949 v1 · 2016-11-07 · 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{5WSJULWHEOXIBFUAYMXGLXHSH2}

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	2026-05-18T01:00:04.096900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda49a2ec723ae809680c32e65dcf23ebe22475a05641662827e33477480b253

Aliases

arxiv: 1611.01949 · arxiv_version: 1611.01949v1 · doi: 10.48550/arxiv.1611.01949 · pith_short_12: 5WSJULWHEOXI · pith_short_16: 5WSJULWHEOXIBFUA · pith_short_8: 5WSJULWH

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/5WSJULWHEOXIBFUAYMXGLXHSH2 \
  | 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: eda49a2ec723ae809680c32e65dcf23ebe22475a05641662827e33477480b253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a969752b01f808b6cd2354bb76100d28e2e532f053f36e16f05db01ae1188088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-07T09:24:12Z",
    "title_canon_sha256": "7842a66ca5c70645af97a2668752b6ea242afcc184db8fb052adef482ce35c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01949",
    "kind": "arxiv",
    "version": 1
  }
}