Pith Number

pith:SAJKWM4Z

pith:2015:SAJKWM4ZP7N6DXM2GWIJFGYPQV

not attested not anchored not stored refs pending

Some Smallest Parts Functions from Variations of Bailey's Lemma

Chris Jennings-Shaffer

arxiv:1506.05344 v4 · 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{SAJKWM4ZP7N6DXM2GWIJFGYPQV}

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	2026-05-18T00:47:00.407453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9012ab33997fdbe1dd9a3590929b0f857b602092b34998a1522e4b628f6e2aa4

Aliases

arxiv: 1506.05344 · arxiv_version: 1506.05344v4 · doi: 10.48550/arxiv.1506.05344 · pith_short_12: SAJKWM4ZP7N6 · pith_short_16: SAJKWM4ZP7N6DXM2 · pith_short_8: SAJKWM4Z

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/SAJKWM4ZP7N6DXM2GWIJFGYPQV \
  | 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: 9012ab33997fdbe1dd9a3590929b0f857b602092b34998a1522e4b628f6e2aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98699f4a7aa2c47a4ee4f93d8344800ea5150d17dab1b69cee3eb22cac784a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-17T14:48:34Z",
    "title_canon_sha256": "b8b7d7250100c26a4d94312b6a93531570af6a2bef64f5266a98e9a2696ca439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05344",
    "kind": "arxiv",
    "version": 4
  }
}