Pith Number

pith:26P3NTI6

pith:2004:26P3NTI6GSH3WEIYZEIJFBU6OO

not attested not anchored not stored refs pending

Differentiable functions of Cayley-Dickson numbers

S.V. Ludkovsky

arxiv:math/0405471 v2 · 2004-05-24 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26P3NTI6GSH3WEIYZEIJFBU6OO}

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	2026-05-17T23:58:08.970853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79fb6cd1e348fbb1118c91092869e73a10150ca688bee82ce9e4d262f6539bd

Aliases

arxiv: math/0405471 · arxiv_version: math/0405471v2 · doi: 10.48550/arxiv.math/0405471 · pith_short_12: 26P3NTI6GSH3 · pith_short_16: 26P3NTI6GSH3WEIY · pith_short_8: 26P3NTI6

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/26P3NTI6GSH3WEIYZEIJFBU6OO \
  | 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: d79fb6cd1e348fbb1118c91092869e73a10150ca688bee82ce9e4d262f6539bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63f9581c0f2fef6ecf32a2ac00871facd5fe7abd0798ea63f1e11c0d20872e6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-05-24T19:56:37Z",
    "title_canon_sha256": "ba9dcbb1efa0a967cfd37bd4786f4eb2eb9c2be916faa40460eaa2266ed12bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405471",
    "kind": "arxiv",
    "version": 2
  }
}