Pith Number

pith:HBV73B2T

pith:2011:HBV73B2TVF7VQU5P6PO7VGUCSQ

not attested not anchored not stored refs pending

Asymptotic harmonic behavior in the prime number distribution

Maurice H.P.M. van Putten

arxiv:1104.3617 v2 · 2011-04-19 · 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{HBV73B2TVF7VQU5P6PO7VGUCSQ}

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	2026-05-18T02:52:13.045122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386bfd8753a97f5853aff3ddfa9a8294372a0910f88aef52c5ae7f51a41e32fb

Aliases

arxiv: 1104.3617 · arxiv_version: 1104.3617v2 · doi: 10.48550/arxiv.1104.3617 · pith_short_12: HBV73B2TVF7V · pith_short_16: HBV73B2TVF7VQU5P · pith_short_8: HBV73B2T

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/HBV73B2TVF7VQU5P6PO7VGUCSQ \
  | 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: 386bfd8753a97f5853aff3ddfa9a8294372a0910f88aef52c5ae7f51a41e32fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb8e2905ea2b873cbc5ecb21cdcec9a6c24f8e059912763191d6e73adc6a606",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-19T00:59:18Z",
    "title_canon_sha256": "c1ba1511c8921809b09b8755b0518488124e04a64948c5920ed1a158be27b2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3617",
    "kind": "arxiv",
    "version": 2
  }
}