Pith Number

pith:7OXKTEO2

pith:2015:7OXKTEO2NHYX6IDH72H6GQXAHP

not attested not anchored not stored refs pending

Ranks For Two Partition Quadruple Functions

Chris Jennings-Shaffer

arxiv:1506.05354 v2 · 2015-06-17 · 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{7OXKTEO2NHYX6IDH72H6GQXAHP}

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	2026-05-18T01:19:50.949191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbaea991da69f17f2067fe8fe342e03bde306b28184ef8d4d7bbd2a40026e79a

Aliases

arxiv: 1506.05354 · arxiv_version: 1506.05354v2 · doi: 10.48550/arxiv.1506.05354 · pith_short_12: 7OXKTEO2NHYX · pith_short_16: 7OXKTEO2NHYX6IDH · pith_short_8: 7OXKTEO2

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/7OXKTEO2NHYX6IDH72H6GQXAHP \
  | 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: fbaea991da69f17f2067fe8fe342e03bde306b28184ef8d4d7bbd2a40026e79a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a01d9d18a9689bd789e2227dd6b7526e8e0f15fd99cb1a5b1c1931daf737a51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-17T14:54:29Z",
    "title_canon_sha256": "b3350dc4ace8a882b6c1cda008c1812fc5f244baaa3c6964dc5bf6b52e1c5e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05354",
    "kind": "arxiv",
    "version": 2
  }
}