Pith Number

pith:VHLDUA6D

pith:2014:VHLDUA6DRNH2KU5XXRKLXHONSB

not attested not anchored not stored refs pending

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

Bill Mance, Dylan Airey

arxiv:1407.0777 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{VHLDUA6DRNH2KU5XXRKLXHONSB}

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	2026-05-18T02:48:02.730094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d63a03c38b4fa553b7bc54bb9dcd905fb870e30de3d94a8a1c20b447c7e76c

Aliases

arxiv: 1407.0777 · arxiv_version: 1407.0777v2 · doi: 10.48550/arxiv.1407.0777 · pith_short_12: VHLDUA6DRNH2 · pith_short_16: VHLDUA6DRNH2KU5X · pith_short_8: VHLDUA6D

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/VHLDUA6DRNH2KU5XXRKLXHONSB \
  | 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: a9d63a03c38b4fa553b7bc54bb9dcd905fb870e30de3d94a8a1c20b447c7e76c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bfb52aaff2b15e3525e78ed6d5a7d2eafc78c434d3d1228be08c778c93bdb3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-03T04:25:35Z",
    "title_canon_sha256": "81d11daac26c5400ac97a15d0db7fe181c7eb793d4458dc33a5d8e73cfcd7399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0777",
    "kind": "arxiv",
    "version": 2
  }
}