Pith Number

pith:BMY2JJ3L

pith:2026:BMY2JJ3LZFULXV6A7GTCXZN5EK

not attested not anchored not stored refs pending

Proof of the Gawron-Miska-Ulas conjecture concerning unboundedness of coefficients of power series expansion of $\prod_{n=0}^{\infty}(1-x^{2^{n}})^m$

Jinmin Yu, Shaofang Hong, Wenzhong Lei

arxiv:2606.25825 v1 · 2026-06-24 · 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{BMY2JJ3LZFULXV6A7GTCXZN5EK}

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	2026-06-25T01:18:40.477307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b31a4a76bc968bbd7c0f9a62be5bd22b654e3fec49b2b9227af30561cd554e2

Aliases

arxiv: 2606.25825 · arxiv_version: 2606.25825v1 · doi: 10.48550/arxiv.2606.25825 · pith_short_12: BMY2JJ3LZFUL · pith_short_16: BMY2JJ3LZFULXV6A · pith_short_8: BMY2JJ3L

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/BMY2JJ3LZFULXV6A7GTCXZN5EK \
  | 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: 0b31a4a76bc968bbd7c0f9a62be5bd22b654e3fec49b2b9227af30561cd554e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3149ed8b675d2d9b9e58e18e11cd4815045dd34e871e96473327b0afd51a2419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T13:44:27Z",
    "title_canon_sha256": "c95a23ac311cb7f4ddea246293adc7c21af38da21b52d572b4624f83647fa142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25825",
    "kind": "arxiv",
    "version": 1
  }
}