Pith Number

pith:FWIVITKH

pith:2011:FWIVITKH34KP7ARXU4EYT2H6PI

not attested not anchored not stored refs pending

A new approach to the real numbers

Liangpan Li

arxiv:1101.1800 v3 · 2011-01-10 · math.CA · math.HO · 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{FWIVITKH34KP7ARXU4EYT2H6PI}

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	2026-05-18T04:27:17.609662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed

Aliases

arxiv: 1101.1800 · arxiv_version: 1101.1800v3 · doi: 10.48550/arxiv.1101.1800 · pith_short_12: FWIVITKH34KP · pith_short_16: FWIVITKH34KP7ARX · pith_short_8: FWIVITKH

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/FWIVITKH34KP7ARXU4EYT2H6PI \
  | 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: 2d91544d47df14ff8237a70989e8fe7a329011413468873a47a59aa64fb8d5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a560b4d9f99f08499348e52807e46038ce961759ebe029ad4a8e80863964a8",
    "cross_cats_sorted": [
      "math.HO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-10T13:03:23Z",
    "title_canon_sha256": "48faed0d858ebacefe00e9f3ddc3e366c4fbc068e99bfcbe51713c05e324ea49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1800",
    "kind": "arxiv",
    "version": 3
  }
}