Pith Number

pith:42VJYZJH

pith:2014:42VJYZJHAW5L2MYNEZ6T2PFYBL

not attested not anchored not stored refs pending

Improving riemann prime counting

Michel Planat (FEMTO-ST), Patrick Sol\'e

arxiv:1410.1083 v1 · 2014-10-04 · 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{42VJYZJHAW5L2MYNEZ6T2PFYBL}

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	2026-05-18T00:46:43.393479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6aa9c652705babd330d267d3d3cb80ad6047f6648ef9e507b4c5147f74ba34e

Aliases

arxiv: 1410.1083 · arxiv_version: 1410.1083v1 · doi: 10.48550/arxiv.1410.1083 · pith_short_12: 42VJYZJHAW5L · pith_short_16: 42VJYZJHAW5L2MYN · pith_short_8: 42VJYZJH

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/42VJYZJHAW5L2MYNEZ6T2PFYBL \
  | 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: e6aa9c652705babd330d267d3d3cb80ad6047f6648ef9e507b4c5147f74ba34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4f1c7abec7f8940290a3bf785d8ffefa23a92d42ad9e581e6cd241f7f2e828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-04T19:26:46Z",
    "title_canon_sha256": "c0b7d35efc68893a0ada41f35b8c2d374383a40521da5b5fa8cc4c2da600f8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1083",
    "kind": "arxiv",
    "version": 1
  }
}