Pith Number

pith:R4RUJWIX

pith:2015:R4RUJWIXYBCBDRBUM44BR6DKPX

not attested not anchored not stored refs pending

On partitions with fixed number of even-indexed and odd-indexed odd parts

Alexander Berkovich, Ali Kemal Uncu

arxiv:1510.07301 v3 · 2015-10-25 · math.NT · 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{R4RUJWIXYBCBDRBUM44BR6DKPX}

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	2026-05-18T01:17:25.204108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2344d917c04411c434673818f86a7de41905edc2c340de67c395758ddbe89a

Aliases

arxiv: 1510.07301 · arxiv_version: 1510.07301v3 · doi: 10.48550/arxiv.1510.07301 · pith_short_12: R4RUJWIXYBCB · pith_short_16: R4RUJWIXYBCBDRBU · pith_short_8: R4RUJWIX

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/R4RUJWIXYBCBDRBUM44BR6DKPX \
  | 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: 8f2344d917c04411c434673818f86a7de41905edc2c340de67c395758ddbe89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782e8fc0b036cbc08cae5b3eeeb1820a79dd69983d25cd0a62629cd2c8a34ce9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-25T20:59:48Z",
    "title_canon_sha256": "e54d56a8d15c7747fe23243662cf6fa746d5d0770fbe26b5f10bd46f9415c35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07301",
    "kind": "arxiv",
    "version": 3
  }
}