Pith Number

pith:Q53V3TMA

pith:2023:Q53V3TMAQHVJZIEMOCMSJ3KYXV

not attested not anchored not stored refs pending

Internal and external harmonics in bi-cyclide coordinates

Brandon Alexander, Hans Volkmer, Howard S. Cohl

arxiv:2303.02235 v1 · 2023-03-03 · 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{Q53V3TMAQHVJZIEMOCMSJ3KYXV}

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	2026-07-05T06:36:30.481998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87775dcd8081ea9ca08c709924ed58bd5b1b1782c91a14241f28aabc15c52011

Aliases

arxiv: 2303.02235 · arxiv_version: 2303.02235v1 · doi: 10.48550/arxiv.2303.02235 · pith_short_12: Q53V3TMAQHVJ · pith_short_16: Q53V3TMAQHVJZIEM · pith_short_8: Q53V3TMA

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/Q53V3TMAQHVJZIEMOCMSJ3KYXV \
  | 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: 87775dcd8081ea9ca08c709924ed58bd5b1b1782c91a14241f28aabc15c52011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efefd0fe90d03547eac481ee89ca472ff80fdc6bef7562b200a2e74fcdeb32ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-03-03T21:59:07Z",
    "title_canon_sha256": "0d6fb4abf85fafcf27237a3d2b3a8a8ef90b175e61a6164684c0ee0834cc8daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02235",
    "kind": "arxiv",
    "version": 1
  }
}