Pith Number

pith:4HR5KU7R

pith:2016:4HR5KU7RHSU5OOYRGZXP2QQEP6

not attested not anchored not stored refs pending

Proof of a Conjecture of Z.-W. Sun on Trigonometric Series

Brian Y. Sun, J.X. Meng

arxiv:1606.08153 v1 · 2016-06-27 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HR5KU7RHSU5OOYRGZXP2QQEP6}

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	2026-05-18T01:11:52.655111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e3d553f13ca9d73b11366efd42047fabb701ab14193bf7655dc45a138d8fc1

Aliases

arxiv: 1606.08153 · arxiv_version: 1606.08153v1 · doi: 10.48550/arxiv.1606.08153 · pith_short_12: 4HR5KU7RHSU5 · pith_short_16: 4HR5KU7RHSU5OOYR · pith_short_8: 4HR5KU7R

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/4HR5KU7RHSU5OOYRGZXP2QQEP6 \
  | 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: e1e3d553f13ca9d73b11366efd42047fabb701ab14193bf7655dc45a138d8fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a06406835c7d265e774123b04a1b229e40ed457f39f8b31c01748c9c72815e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-27T08:05:07Z",
    "title_canon_sha256": "d87da8aac10ba1b7ab1efad748b6766a1c82207fc5b64d0eaeaa1e34341627ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08153",
    "kind": "arxiv",
    "version": 1
  }
}