Pith Number

pith:3E37IXXT

pith:2026:3E37IXXTTISZWEMUDY2P3ZD6B3

not attested not anchored not stored refs pending

Vanishing Coefficients in Products of Quintuple Products

Dongxi Ye, James McLaughlin, Taylor Daniels, Tim Huber

arxiv:2606.06701 v1 · 2026-06-04 · 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{3E37IXXTTISZWEMUDY2P3ZD6B3}

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	2026-06-08T01:04:23.493356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d937f45ef39a259b11941e34fde47e0efccbc194ff97d3dde68a1d3e548d461d

Aliases

arxiv: 2606.06701 · arxiv_version: 2606.06701v1 · doi: 10.48550/arxiv.2606.06701 · pith_short_12: 3E37IXXTTISZ · pith_short_16: 3E37IXXTTISZWEMU · pith_short_8: 3E37IXXT

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/3E37IXXTTISZWEMUDY2P3ZD6B3 \
  | 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: d937f45ef39a259b11941e34fde47e0efccbc194ff97d3dde68a1d3e548d461d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f56985dd1aeb5dda32b57088d9e986f1c5f22ae977fa1abb735b9692ef2294",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-04T20:40:37Z",
    "title_canon_sha256": "2bee6e09a18064fa20da4b3f79070c67754eb8e4134b33921c0c3d0d5cd89f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06701",
    "kind": "arxiv",
    "version": 1
  }
}