Pith Number

pith:TMSIN4KT

pith:2013:TMSIN4KT3ON3TA32BZQCPYHEGY

not attested not anchored not stored refs pending

Equidistribution of digits in powers and Diophantine approximations

Charles Tresser, Edson de Faria

arxiv:1307.1505 v2 · 2013-07-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMSIN4KT3ON3TA32BZQCPYHEGY}

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	2026-05-18T02:25:40.569819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2486f153db9bb9837a0e6027e0e43626eafdf54b0a2e4d3dbf6d9815dee2d3

Aliases

arxiv: 1307.1505 · arxiv_version: 1307.1505v2 · doi: 10.48550/arxiv.1307.1505 · pith_short_12: TMSIN4KT3ON3 · pith_short_16: TMSIN4KT3ON3TA32 · pith_short_8: TMSIN4KT

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/TMSIN4KT3ON3TA32BZQCPYHEGY \
  | 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: 9b2486f153db9bb9837a0e6027e0e43626eafdf54b0a2e4d3dbf6d9815dee2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbda9e843def2401b14f5e19ecba218f7f224ff621864608472ecbe6338a403e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-05T01:18:31Z",
    "title_canon_sha256": "210159e6d6133ddc3923eb6d037f73c04d9ed3dd88f82fcf4c4c6860d9ef1c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1505",
    "kind": "arxiv",
    "version": 2
  }
}