Pith Number

pith:GAIFMLL2

pith:2007:GAIFMLL2RTCY4KGB7EHTER5MR6

not attested not anchored not stored refs pending

Daehee Formula Associated with the q-Extensions of Trigonometric Functions

S.H.Rim, S. Park, T. Kim

arxiv:math/0701369 v1 · 2007-01-13 · 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{GAIFMLL2RTCY4KGB7EHTER5MR6}

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	2026-07-04T14:58:44.339125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3010562d7a8cc58e28c1f90f3247ac8f917b90363382b60fd567a17cc5d0bb2a

Aliases

arxiv: math/0701369 · arxiv_version: math/0701369v1 · doi: 10.48550/arxiv.math/0701369 · pith_short_12: GAIFMLL2RTCY · pith_short_16: GAIFMLL2RTCY4KGB · pith_short_8: GAIFMLL2

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/GAIFMLL2RTCY4KGB7EHTER5MR6 \
  | 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: 3010562d7a8cc58e28c1f90f3247ac8f917b90363382b60fd567a17cc5d0bb2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00890609a6df6e54e1e16b09ffd50a50aebc05e0e06c6740b81aae8beb39e8b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-13T02:02:22Z",
    "title_canon_sha256": "390eae7e8d72ea2a3a07ecb4888886c2d0c8226ae8950b6b4cf216c29163c9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701369",
    "kind": "arxiv",
    "version": 1
  }
}