Pith Number

pith:OW26QSGP

pith:2016:OW26QSGPKFG7H5NRRF6G6FYGSN

not attested not anchored not stored refs pending

Counting primes by sums of frequencies

Alejandro Miralles, Dami\`a Torres

arxiv:1607.05517 v4 · 2016-07-19 · 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{OW26QSGPKFG7H5NRRF6G6FYGSN}

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	2026-05-18T00:48:09.715824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b5e848cf514df3f5b1897c6f1706934e4eb2287d1df037a46031829b99ea39

Aliases

arxiv: 1607.05517 · arxiv_version: 1607.05517v4 · doi: 10.48550/arxiv.1607.05517 · pith_short_12: OW26QSGPKFG7 · pith_short_16: OW26QSGPKFG7H5NR · pith_short_8: OW26QSGP

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/OW26QSGPKFG7H5NRRF6G6FYGSN \
  | 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: 75b5e848cf514df3f5b1897c6f1706934e4eb2287d1df037a46031829b99ea39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c29cc412380a6fc5afbb1bb657db65d07543d4e4971a2859c40775b4513ee49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-19T11:03:23Z",
    "title_canon_sha256": "0d308e9007635291839f3c3f9d6b92ec8b21133612b4e958bc7590dc978ceef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05517",
    "kind": "arxiv",
    "version": 4
  }
}