Pith Number

pith:B5EOPKI5

pith:2012:B5EOPKI5VITLEENVWJIVTIOZBE

not attested not anchored not stored refs pending

On linear combinations of units with bounded coefficients and double-base digit expansions

Daniel Krenn, J\"org Thuswaldner, Volker Ziegler

arxiv:1205.4833 v2 · 2012-05-22 · 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{B5EOPKI5VITLEENVWJIVTIOZBE}

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	2026-05-18T03:02:43.886183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f48e7a91daa26b211b5b25159a1d9091aa27e7a44f9a1ff9bf41e29fc44f68c

Aliases

arxiv: 1205.4833 · arxiv_version: 1205.4833v2 · doi: 10.48550/arxiv.1205.4833 · pith_short_12: B5EOPKI5VITL · pith_short_16: B5EOPKI5VITLEENV · pith_short_8: B5EOPKI5

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/B5EOPKI5VITLEENVWJIVTIOZBE \
  | 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: 0f48e7a91daa26b211b5b25159a1d9091aa27e7a44f9a1ff9bf41e29fc44f68c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad8a16e8b094a940b320f50effe4aac19dae413a9a5c171de03b92c5e1cb2a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-22T08:05:43Z",
    "title_canon_sha256": "7958fc9ae61470de66c391250e2e4d76954e56cb07c7291d35336626aa704d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4833",
    "kind": "arxiv",
    "version": 2
  }
}