Pith Number

pith:XJCDF5EN

pith:2015:XJCDF5ENTCJ3SJVJGSAFMM7MRG

not attested not anchored not stored refs pending

Shifted distinct-part partition identities in arithmetic progressions

Ethan Alwaise, Hannah Larson, Ian Wagner, Jason Friedman, Josh Weinstock, Lianyan Gu, Madeline Locus, Robert Dicks, Zach Harner

arxiv:1507.07943 v2 · 2015-07-28 · 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{XJCDF5ENTCJ3SJVJGSAFMM7MRG}

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	2026-07-05T04:32:45.450743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4432f48d9893b926a934805633ec899f1e8191674e7c51aea7ec0c8ed62051

Aliases

arxiv: 1507.07943 · arxiv_version: 1507.07943v2 · doi: 10.48550/arxiv.1507.07943 · pith_short_12: XJCDF5ENTCJ3 · pith_short_16: XJCDF5ENTCJ3SJVJ · pith_short_8: XJCDF5EN

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/XJCDF5ENTCJ3SJVJGSAFMM7MRG \
  | 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: ba4432f48d9893b926a934805633ec899f1e8191674e7c51aea7ec0c8ed62051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9e490657db417f6d7a451361931d7e29174d4666ee12e3ee36934b07a578f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-28T20:08:15Z",
    "title_canon_sha256": "8f830fc5b2b5c298fda0cf9d5bb9557558bdc5416612cd110386c3197be0281b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07943",
    "kind": "arxiv",
    "version": 2
  }
}