Pith Number

pith:XGYMSTUP

pith:2016:XGYMSTUPW2NTOEAHI5VPEN4Y3W

not attested not anchored not stored refs pending

A Few Finite Trigonometric Sums

Chandan Datta, Pankaj Agrawal

arxiv:1609.08950 v2 · 2016-09-27 · math.CV · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGYMSTUPW2NTOEAHI5VPEN4Y3W}

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	2026-05-18T00:50:13.521673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b0c94e8fb69b371007476af23798dd995c34f1e517e4646e08613de556b7ce

Aliases

arxiv: 1609.08950 · arxiv_version: 1609.08950v2 · doi: 10.48550/arxiv.1609.08950 · pith_short_12: XGYMSTUPW2NT · pith_short_16: XGYMSTUPW2NTOEAH · pith_short_8: XGYMSTUP

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/XGYMSTUPW2NTOEAHI5VPEN4Y3W \
  | 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: b9b0c94e8fb69b371007476af23798dd995c34f1e517e4646e08613de556b7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d0e5f6b0e057f1270e30bd7c99b6b59698f92289b609f365db38a358ae2b95",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-27T14:20:08Z",
    "title_canon_sha256": "c1844c3b515f96554c9e3a8261c3505f284e495c2c632df1cd64d999e015b671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08950",
    "kind": "arxiv",
    "version": 2
  }
}