Pith Number

pith:RJHIDVXB

pith:2021:RJHIDVXBJOB224P4Z3KKPHPYNP

not attested not anchored not stored refs pending

Analytic Continuation of Generalized Trigonometric Functions

Pisheng Ding

arxiv:2106.15109 v4 · 2021-06-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJHIDVXBJOB224P4Z3KKPHPYNP}

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	2026-05-25T02:02:04.611811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4e81d6e14b83ad71fcced4a79df86bff90a8cfc3b3befeccb5dad487050d35

Aliases

arxiv: 2106.15109 · arxiv_version: 2106.15109v4 · doi: 10.48550/arxiv.2106.15109 · pith_short_12: RJHIDVXBJOB2 · pith_short_16: RJHIDVXBJOB224P4 · pith_short_8: RJHIDVXB

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/RJHIDVXBJOB224P4Z3KKPHPYNP \
  | 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: 8a4e81d6e14b83ad71fcced4a79df86bff90a8cfc3b3befeccb5dad487050d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a2821c3ea8e29f230cd419991eeda37333f4544ef09bf8bbe3e57097259c6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-06-29T06:13:24Z",
    "title_canon_sha256": "5de4ba4078ecfbb60c01cfc65b45a9f3331839841f6db393dc27ea288154aa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15109",
    "kind": "arxiv",
    "version": 4
  }
}