Pith Number

pith:K4JVBJ4I

pith:2019:K4JVBJ4IB7X3LBOHK66NYBSBIW

not attested not anchored not stored refs pending

A fractalization of rational trigonometric function

P. Viswanathan, S. Verma

arxiv:1903.02341 v2 · 2019-03-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4JVBJ4IB7X3LBOHK66NYBSBIW}

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	2026-05-17T23:48:50.073081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571350a7880fefb585c757bcdc0641458bbdb108e5ccb45955152dbbaafa0f5a

Aliases

arxiv: 1903.02341 · arxiv_version: 1903.02341v2 · doi: 10.48550/arxiv.1903.02341 · pith_short_12: K4JVBJ4IB7X3 · pith_short_16: K4JVBJ4IB7X3LBOH · pith_short_8: K4JVBJ4I

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/K4JVBJ4IB7X3LBOHK66NYBSBIW \
  | 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: 571350a7880fefb585c757bcdc0641458bbdb108e5ccb45955152dbbaafa0f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05e6798a514896a6676c3b3e4d572a6e3fbf57f6769754d30182c45090d0afd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-06T12:43:46Z",
    "title_canon_sha256": "ea87ecf2cbc46715d6bed20f2b35acdfe39c6d220f5c53411358a6c785e7bce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02341",
    "kind": "arxiv",
    "version": 2
  }
}