Pith Number

pith:6HJIHM4G

pith:2014:6HJIHM4GSD4U7CUYJBAGV77QE7

not attested not anchored not stored refs pending

A hyperbolic analog of the phasor addition formula

F. Adri\'an F. Tojo

arxiv:1411.5498 v2 · 2014-11-20 · math.CA · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HJIHM4GSD4U7CUYJBAGV77QE7}

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	2026-05-18T00:50:10.010128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d283b38690f94f8a9848406afff027e45dda1487b33124d0d4701930e2f846

Aliases

arxiv: 1411.5498 · arxiv_version: 1411.5498v2 · doi: 10.48550/arxiv.1411.5498 · pith_short_12: 6HJIHM4GSD4U · pith_short_16: 6HJIHM4GSD4U7CUY · pith_short_8: 6HJIHM4G

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/6HJIHM4GSD4U7CUYJBAGV77QE7 \
  | 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: f1d283b38690f94f8a9848406afff027e45dda1487b33124d0d4701930e2f846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526ab1d3a90571b443c2cade89df80736ec2020e286e7afe81333f3ec975ec48",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-20T10:45:15Z",
    "title_canon_sha256": "a9823d8ae34cd9d948556d3439589c537cae1da60ab526684247a56a3c53159f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5498",
    "kind": "arxiv",
    "version": 2
  }
}