Pith Number

pith:ALM72ZJ4

pith:2016:ALM72ZJ4HA7DHJPVFB6KORWT3U

not attested not anchored not stored refs pending

Discrete trigonometric and hyperbolic systems: An overview

Petr Zem\'anek

arxiv:1606.05670 v2 · 2016-06-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALM72ZJ4HA7DHJPVFB6KORWT3U}

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	2026-05-18T01:07:50.622177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02d9fd653c383e33a5f5287ca746d3dd0b183c304e62f4c8f9c326b049fc1f7a

Aliases

arxiv: 1606.05670 · arxiv_version: 1606.05670v2 · doi: 10.48550/arxiv.1606.05670 · pith_short_12: ALM72ZJ4HA7D · pith_short_16: ALM72ZJ4HA7DHJPV · pith_short_8: ALM72ZJ4

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/ALM72ZJ4HA7DHJPVFB6KORWT3U \
  | 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: 02d9fd653c383e33a5f5287ca746d3dd0b183c304e62f4c8f9c326b049fc1f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0215e82b7a0c4348d4fcb55ccc90f2d2997ccaee0f2703178c5b5a50fd3b3de1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-17T20:33:40Z",
    "title_canon_sha256": "9deb969d9af5e95df4c4d1ed80f0d97d7935a3afcccb4543268d78217a70d192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05670",
    "kind": "arxiv",
    "version": 2
  }
}