Pith Number

pith:AHAQFHZ5

pith:2015:AHAQFHZ5N3MRSTN73N6VMMPSAG

not attested not anchored not stored refs pending

A new generalization of the Takagi function

Kazuki Okamura

arxiv:1504.08111 v2 · 2015-04-30 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHAQFHZ5N3MRSTN73N6VMMPSAG}

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	2026-05-18T01:25:55.361358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c1029f3d6ed9194dbfdb7d5631f201810188029cfb30509a6399a7c2859979

Aliases

arxiv: 1504.08111 · arxiv_version: 1504.08111v2 · doi: 10.48550/arxiv.1504.08111 · pith_short_12: AHAQFHZ5N3MR · pith_short_16: AHAQFHZ5N3MRSTN7 · pith_short_8: AHAQFHZ5

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/AHAQFHZ5N3MRSTN73N6VMMPSAG \
  | 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: 01c1029f3d6ed9194dbfdb7d5631f201810188029cfb30509a6399a7c2859979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4917a681aba077d677d995e69d3e95a00c6430e8ccc0b640416627378e692a8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-30T08:21:02Z",
    "title_canon_sha256": "7fae04018182d7c242e8a47606e968eaf56b123bb2fec08211aa72aa60ed121f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08111",
    "kind": "arxiv",
    "version": 2
  }
}