Pith Number

pith:EXPUJM34

pith:2013:EXPUJM34I4RQUPU6OXBV4VCAX7

not attested not anchored not stored refs pending

$k$-block parallel addition versus $1$-block parallel addition in non-standard numeration systems

Christiane Frougny, Edita Pelantov\'a, Milena Svobodov\'a, Pavel Heller

arxiv:1312.4858 v1 · 2013-12-17 · 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{EXPUJM34I4RQUPU6OXBV4VCAX7}

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	2026-05-18T03:04:22.987219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25df44b37c47230a3e9e75c35e5440bfe4672c65e6cd98eb767378dcebd394fe

Aliases

arxiv: 1312.4858 · arxiv_version: 1312.4858v1 · doi: 10.48550/arxiv.1312.4858 · pith_short_12: EXPUJM34I4RQ · pith_short_16: EXPUJM34I4RQUPU6 · pith_short_8: EXPUJM34

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/EXPUJM34I4RQUPU6OXBV4VCAX7 \
  | 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: 25df44b37c47230a3e9e75c35e5440bfe4672c65e6cd98eb767378dcebd394fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116a7cab1818edbf80ffd939e2a640aa6066fbde51702209f38adbe4f61ee169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-17T16:58:07Z",
    "title_canon_sha256": "33aa5283124828dfefb399358559e4819336e462f4948e09bd1e3ad65da02f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4858",
    "kind": "arxiv",
    "version": 1
  }
}