Pith Number

pith:6RNRJPBC

pith:2018:6RNRJPBCTBDBEYXDNWDME5BK35

not attested not anchored not stored refs pending

Some new sums of $q$-trigonometric and related functions through a theta product of Jacobi

J\'ozsef S\'andor, Mohamed El Bachraoui

arxiv:1806.03415 v2 · 2018-06-09 · 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{6RNRJPBCTBDBEYXDNWDME5BK35}

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	2026-05-17T23:51:54.525361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f45b14bc2298461262e36d86c2742adf56aadbec09841082f7e9fd8ccece3b6e

Aliases

arxiv: 1806.03415 · arxiv_version: 1806.03415v2 · doi: 10.48550/arxiv.1806.03415 · pith_short_12: 6RNRJPBCTBDB · pith_short_16: 6RNRJPBCTBDBEYXD · pith_short_8: 6RNRJPBC

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/6RNRJPBCTBDBEYXDNWDME5BK35 \
  | 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: f45b14bc2298461262e36d86c2742adf56aadbec09841082f7e9fd8ccece3b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409d0a9a84eb36695de44b247f42c1b27dc3ac784f0b9c3240d4bb8a9c0a1ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-09T05:12:35Z",
    "title_canon_sha256": "f43a6d07901ef23763880200a3a75f18cc0cbcf87f14059b72784df1c1dba21e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03415",
    "kind": "arxiv",
    "version": 2
  }
}