Pith Number

pith:PODUBRBK

pith:2016:PODUBRBKCYRUZS3UHPD2JAIYUO

not attested not anchored not stored refs pending

Prime Power and Prime Product Distance Graphs

Colin Starr, Jeffrey Schreiner-McGraw, Joshua D. Laison, Yumi Li

arxiv:1607.05197 v1 · 2016-07-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PODUBRBKCYRUZS3UHPD2JAIYUO}

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	2026-05-18T01:10:55.680526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b8740c42a16234ccb743bc7a48118a3a57075d61feac18a94d2511eeef553d6

Aliases

arxiv: 1607.05197 · arxiv_version: 1607.05197v1 · doi: 10.48550/arxiv.1607.05197 · pith_short_12: PODUBRBKCYRU · pith_short_16: PODUBRBKCYRUZS3U · pith_short_8: PODUBRBK

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/PODUBRBKCYRUZS3UHPD2JAIYUO \
  | 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: 7b8740c42a16234ccb743bc7a48118a3a57075d61feac18a94d2511eeef553d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbac694fbc54da47a4ae08b5fdf03aaaafb84a4d5738ba1a1c00f485a1afa32c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-18T17:15:05Z",
    "title_canon_sha256": "28c71500694a5624392eee3884a8867a392348fc8dec723508213fb93ad18300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05197",
    "kind": "arxiv",
    "version": 1
  }
}