Pith Number

pith:H7B2KBO2

pith:2019:H7B2KBO2LF3YDTUCPJB2O3LJWB

not attested not anchored not stored refs pending

Divisibility Tests Unified: Stacking the Trimmings for Sums

Edwin O'Shea

arxiv:1903.04903 v1 · 2019-03-12 · math.NT · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7B2KBO2LF3YDTUCPJB2O3LJWB}

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	2026-05-17T23:51:28.476909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc3a505da597781ce827a43a76d69b0510eeaaa294350b4fdc94e304df2e09a

Aliases

arxiv: 1903.04903 · arxiv_version: 1903.04903v1 · doi: 10.48550/arxiv.1903.04903 · pith_short_12: H7B2KBO2LF3Y · pith_short_16: H7B2KBO2LF3YDTUC · pith_short_8: H7B2KBO2

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/H7B2KBO2LF3YDTUCPJB2O3LJWB \
  | 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: 3fc3a505da597781ce827a43a76d69b0510eeaaa294350b4fdc94e304df2e09a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f6d20a7f395651e11ea5a72ba0e6d604e98fb2714bc80d42595f61dba788c0",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-12T13:35:07Z",
    "title_canon_sha256": "e0b0b5f3b8ffa5fcb1d75e580d25843a2e94a84f30b974c6f8cf1f926ce3b73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04903",
    "kind": "arxiv",
    "version": 1
  }
}