Pith Number

pith:TVCZKWLB

pith:2010:TVCZKWLBVCZ7CX7PQ36KCTVFWI

not attested not anchored not stored refs pending

Cantor series constructions of sets of normal numbers

Bill Mance

arxiv:1010.2782 v2 · 2010-10-13 · 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{TVCZKWLBVCZ7CX7PQ36KCTVFWI}

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	2026-05-18T02:55:48.802544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d45955961a8b3f15fef86fca14ea5b2208748cec36cc90a11fb1faec79a17eb

Aliases

arxiv: 1010.2782 · arxiv_version: 1010.2782v2 · doi: 10.48550/arxiv.1010.2782 · pith_short_12: TVCZKWLBVCZ7 · pith_short_16: TVCZKWLBVCZ7CX7P · pith_short_8: TVCZKWLB

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/TVCZKWLBVCZ7CX7PQ36KCTVFWI \
  | 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: 9d45955961a8b3f15fef86fca14ea5b2208748cec36cc90a11fb1faec79a17eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d354d0826a0535df6097e9a94d1caa1056c3a23bacccce49fd23181392610a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-13T21:52:31Z",
    "title_canon_sha256": "c8440e404cf1d5278a96f4fecea273c4b79046992afcf08bcfa6f386d44fc42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2782",
    "kind": "arxiv",
    "version": 2
  }
}