Pith Number

pith:MDWI7DLX

pith:2018:MDWI7DLXD3B2VIAQIHUEK4A2PT

not attested not anchored not stored refs pending

Fonctions arithm\'etiques multiplicativement monotones

Michel Balazard (I2M)

arxiv:1809.08868 v1 · 2018-09-24 · 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{MDWI7DLXD3B2VIAQIHUEK4A2PT}

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	2026-05-18T00:05:03.323327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ec8f8d771ec3aaa01041e845701a7cf0f61eeae7b72340f64e47c13f3894b2

Aliases

arxiv: 1809.08868 · arxiv_version: 1809.08868v1 · doi: 10.48550/arxiv.1809.08868 · pith_short_12: MDWI7DLXD3B2 · pith_short_16: MDWI7DLXD3B2VIAQ · pith_short_8: MDWI7DLX

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/MDWI7DLXD3B2VIAQIHUEK4A2PT \
  | 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: 60ec8f8d771ec3aaa01041e845701a7cf0f61eeae7b72340f64e47c13f3894b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff69db2f19b3253407feeb343e1c3c56cd1e72be5b690d15287bd02b8ffed23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-24T12:18:02Z",
    "title_canon_sha256": "d455adc23b87a9fcae936d03925f6308c88b1c51f4235858a485a40fc04f2ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08868",
    "kind": "arxiv",
    "version": 1
  }
}