Pith Number

pith:HFMHLPF7

pith:2016:HFMHLPF7WGGYZCRZ44GJ53OIEO

not attested not anchored not stored refs pending

On an additive prime divisor function of Alladi and Erdos

Dorian Goldfeld

arxiv:1605.09044 v3 · 2016-05-29 · 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{HFMHLPF7WGGYZCRZ44GJ53OIEO}

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	2026-05-18T01:12:16.466787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395875bcbfb18d8c8a39e70c9eedc823b674f7289e04074c8efd08e1701be615

Aliases

arxiv: 1605.09044 · arxiv_version: 1605.09044v3 · doi: 10.48550/arxiv.1605.09044 · pith_short_12: HFMHLPF7WGGY · pith_short_16: HFMHLPF7WGGYZCRZ · pith_short_8: HFMHLPF7

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/HFMHLPF7WGGYZCRZ44GJ53OIEO \
  | 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: 395875bcbfb18d8c8a39e70c9eedc823b674f7289e04074c8efd08e1701be615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3134f015d6c62ba8149267d1ff0b88b09d765cddc1b3f82fc6749ce6efcce8cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-29T18:54:37Z",
    "title_canon_sha256": "46040a44899698ae3926a99479a4f874d6481be6c9f888768f374983b137f4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09044",
    "kind": "arxiv",
    "version": 3
  }
}