Pith Number

pith:FD36FY7H

pith:2017:FD36FY7H6CIKEXAOMQ2C2GNJRV

not attested not anchored not stored refs pending

Divisor-sum fibers

Carl Pomerance, Lola Thompson, Paul Pollack

arxiv:1706.03120 v1 · 2017-06-09 · 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{FD36FY7H6CIKEXAOMQ2C2GNJRV}

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	2026-05-18T00:18:53.717294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f7e2e3e7f090a25c0e64342d19a98d7074ff2eab211244cffbe31569d6c4cd

Aliases

arxiv: 1706.03120 · arxiv_version: 1706.03120v1 · doi: 10.48550/arxiv.1706.03120 · pith_short_12: FD36FY7H6CIK · pith_short_16: FD36FY7H6CIKEXAO · pith_short_8: FD36FY7H

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/FD36FY7H6CIKEXAOMQ2C2GNJRV \
  | 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: 28f7e2e3e7f090a25c0e64342d19a98d7074ff2eab211244cffbe31569d6c4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a29993ec9d7085c3e29d16b57ecd9d66eb4b86841965f55fe10911c262888c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-09T20:47:32Z",
    "title_canon_sha256": "d297b17afd3612143577c16b53cfdcee2785c1e0b3182f93905b981695194e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03120",
    "kind": "arxiv",
    "version": 1
  }
}