Pith Number

pith:YXIMEWAS

pith:2017:YXIMEWAS733E243D4OLL2Y3JQV

not attested not anchored not stored refs pending

Overpartition $M2$-rank differences, class number relations, and vector-valued mock Eisenstein series

Brandon Williams

arxiv:1708.02569 v2 · 2017-08-08 · 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{YXIMEWAS733E243D4OLL2Y3JQV}

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	2026-05-18T00:05:00.467603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d0c25812fef64d7363e396bd6369857c96e7f145ad9371aa4d04215a59cdba

Aliases

arxiv: 1708.02569 · arxiv_version: 1708.02569v2 · doi: 10.48550/arxiv.1708.02569 · pith_short_12: YXIMEWAS733E · pith_short_16: YXIMEWAS733E243D · pith_short_8: YXIMEWAS

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/YXIMEWAS733E243D4OLL2Y3JQV \
  | 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: c5d0c25812fef64d7363e396bd6369857c96e7f145ad9371aa4d04215a59cdba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513fb9693d5c8adda9f4f09b294d5a53754765cfba2f84d09620d67a80e2db88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-08T17:35:09Z",
    "title_canon_sha256": "c3fa462899258b2d6fd5240baa20bac3befb9f6f50cb91b6b527eaac679c9ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02569",
    "kind": "arxiv",
    "version": 2
  }
}