Pith Number

pith:TIWCS7GJ

pith:2014:TIWCS7GJCNMVWSX2SSNTJWYCPQ

not attested not anchored not stored refs pending

Normality preserving operations for Cantor series expansions and associated fractals part II

Bill Mance, Dylan Airey, Joseph Vandehey

arxiv:1407.0778 v2 · 2014-07-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIWCS7GJCNMVWSX2SSNTJWYCPQ}

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	2026-05-18T02:47:32.635750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2c297cc913595b4afa949b34db027c20124f7f4c9eaca4528bf86d4cfc5682

Aliases

arxiv: 1407.0778 · arxiv_version: 1407.0778v2 · doi: 10.48550/arxiv.1407.0778 · pith_short_12: TIWCS7GJCNMV · pith_short_16: TIWCS7GJCNMVWSX2 · pith_short_8: TIWCS7GJ

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/TIWCS7GJCNMVWSX2SSNTJWYCPQ \
  | 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: 9a2c297cc913595b4afa949b34db027c20124f7f4c9eaca4528bf86d4cfc5682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117c549f0defe28890cb8223ed06f3de2f95441af67248fd2eb5320cb0793ba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-03T04:25:39Z",
    "title_canon_sha256": "2de048b983aa68e5fb36ffe56bce657bf5b256017bdda36826515050a875ace2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0778",
    "kind": "arxiv",
    "version": 2
  }
}