Pith Number

pith:DZJNZ2KK

pith:2025:DZJNZ2KKTCZEGOAUWLXTYVQV32

not attested not anchored not stored refs pending

Sign-patterns of Certain Infinite Products

Dongxi Ye, James McLaughlin, Pengjun Wang, Timothy Huber, Yan Xu, Zeyu Huang

arxiv:2507.16644 v1 · 2025-07-22 · 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{DZJNZ2KKTCZEGOAUWLXTYVQV32}

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	2026-07-05T11:41:28.344766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e52dce94a98b2433814b2ef3c5615de8ad202fe7e7da3336aa0b91b5b10912c

Aliases

arxiv: 2507.16644 · arxiv_version: 2507.16644v1 · doi: 10.48550/arxiv.2507.16644 · pith_short_12: DZJNZ2KKTCZE · pith_short_16: DZJNZ2KKTCZEGOAU · pith_short_8: DZJNZ2KK

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/DZJNZ2KKTCZEGOAUWLXTYVQV32 \
  | 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: 1e52dce94a98b2433814b2ef3c5615de8ad202fe7e7da3336aa0b91b5b10912c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce3312598b30f7c2031f3f81f494cc1085513e8e61ac8fad77a6b1f5252d81a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-22T14:42:04Z",
    "title_canon_sha256": "9947d14e4d9e6c26678fd094b3333580c516aaf3479b455455582c3d2bfab5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16644",
    "kind": "arxiv",
    "version": 1
  }
}