Pith Number

pith:FHD3OEZN

pith:2013:FHD3OEZNMKHWPJO2CMYR2TWFYE

not attested not anchored not stored refs pending

Propri\'et\'es multiplicatives des entiers friables translat\'es

Sary Drappeau

arxiv:1307.4250 v2 · 2013-07-16 · 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{FHD3OEZNMKHWPJO2CMYR2TWFYE}

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	2026-05-18T02:18:22.313601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c7b7132d628f67a5da13311d4ec5c13e491e9daec9eb9b5d47bd96487060e2

Aliases

arxiv: 1307.4250 · arxiv_version: 1307.4250v2 · doi: 10.48550/arxiv.1307.4250 · pith_short_12: FHD3OEZNMKHW · pith_short_16: FHD3OEZNMKHWPJO2 · pith_short_8: FHD3OEZN

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/FHD3OEZNMKHWPJO2CMYR2TWFYE \
  | 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: 29c7b7132d628f67a5da13311d4ec5c13e491e9daec9eb9b5d47bd96487060e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a34eee69b57edc964d093a5c2383e85e2664cb167647be23ef42e138013e472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-16T11:50:51Z",
    "title_canon_sha256": "d0689daad5458c22fbe46bba145f72e7e895c012db5e31a45d7a1ed52a53c81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4250",
    "kind": "arxiv",
    "version": 2
  }
}