Pith Number

pith:EQOQ3RWS

pith:2015:EQOQ3RWSTS75BGKFSML3OL47KF

not attested not anchored not stored refs pending

Polynomial Expressions of Carries in p-ary Arithmetics

Koji Nuida, Shizuo Kaji, Toshiaki Maeno, Yasuhide Numata

arxiv:1506.02742 v3 · 2015-06-09 · math.CO · cs.CR · cs.IT · math.IT · 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{EQOQ3RWSTS75BGKFSML3OL47KF}

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	2026-05-18T01:20:22.233780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

241d0dc6d29cbfd099459317b72f9f514f1babff5fdf9c8939009fb0cc7028dc

Aliases

arxiv: 1506.02742 · arxiv_version: 1506.02742v3 · doi: 10.48550/arxiv.1506.02742 · pith_short_12: EQOQ3RWSTS75 · pith_short_16: EQOQ3RWSTS75BGKF · pith_short_8: EQOQ3RWS

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/EQOQ3RWSTS75BGKFSML3OL47KF \
  | 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: 241d0dc6d29cbfd099459317b72f9f514f1babff5fdf9c8939009fb0cc7028dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ee058ff37961c4f14bb13ef28a315f7caa6b7a20824894ea2da11fc18657ae",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-09T01:26:24Z",
    "title_canon_sha256": "6c02d4b46cff2f5c2088030b8d32c92a87441e3bab51d9e7a7347e91cd5c83e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02742",
    "kind": "arxiv",
    "version": 3
  }
}