Pith Number

pith:YXJJJLC6

pith:2017:YXJJJLC6V7J2EUAPSL4ZXBKJPY

not attested not anchored not stored refs pending

Perfect divisibility and 2-divisibility

Maria Chudnovsky, Vaidy Sivaraman

arxiv:1704.06667 v1 · 2017-04-21 · 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{YXJJJLC6V7J2EUAPSL4ZXBKJPY}

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	2026-05-18T00:45:57.946498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d294ac5eafd3a2500f92f99b85497e38bfb90781d8dc80df264ed8c927f854

Aliases

arxiv: 1704.06667 · arxiv_version: 1704.06667v1 · doi: 10.48550/arxiv.1704.06667 · pith_short_12: YXJJJLC6V7J2 · pith_short_16: YXJJJLC6V7J2EUAP · pith_short_8: YXJJJLC6

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/YXJJJLC6V7J2EUAPSL4ZXBKJPY \
  | 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: c5d294ac5eafd3a2500f92f99b85497e38bfb90781d8dc80df264ed8c927f854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0049b68243f6e9985b084d2176d78f6019568d2f84342a1a2820b011dad34e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-21T18:06:47Z",
    "title_canon_sha256": "740db9cc7d94bfa2e5e25ac9c9d7e65c5dbab39bf77375919d863495a4f20e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06667",
    "kind": "arxiv",
    "version": 1
  }
}