Pith Number

pith:QJMEVECH

pith:2017:QJMEVECHDI27AOMXMCJOQIRH7C

not attested not anchored not stored refs pending

Note sur les lois locales conjointes de la fonction nombre de facteurs premiers

G\'erald Tenenbaum

arxiv:1710.04877 v4 · 2017-10-13 · 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{QJMEVECHDI27AOMXMCJOQIRH7C}

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	2026-05-18T00:25:41.675969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82584a90471a35f039976092e82227f89cb96ff546edaefd3299f6163baa9eb3

Aliases

arxiv: 1710.04877 · arxiv_version: 1710.04877v4 · doi: 10.48550/arxiv.1710.04877 · pith_short_12: QJMEVECHDI27 · pith_short_16: QJMEVECHDI27AOMX · pith_short_8: QJMEVECH

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/QJMEVECHDI27AOMXMCJOQIRH7C \
  | 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: 82584a90471a35f039976092e82227f89cb96ff546edaefd3299f6163baa9eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7342b0ea46b156d3fcba2ba8cd9a4a0912ca4d1121865493dbf8b5067416a2d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-13T11:33:02Z",
    "title_canon_sha256": "a34644240f877c8692ab60e2453bb5200e82f1d5b5d279791aaa886dc7008dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04877",
    "kind": "arxiv",
    "version": 4
  }
}