Pith Number

pith:3IDCBLXN

pith:2012:3IDCBLXN2OUM6M75PFCZF7J7VY

not attested not anchored not stored refs pending

Integer Complexity: Experimental and Analytical Results

J\=anis Iraids, Juris \v{C}er\c{n}enoks, K\=arlis Podnieks, Kaspars Balodis, M\=arti\c{n}\v{s} Opmanis, Rihards Opmanis

arxiv:1203.6462 v1 · 2012-03-29 · 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{3IDCBLXN2OUM6M75PFCZF7J7VY}

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.

Cited by

1 paper in Pith

Upper and lower estimates for integer complexity

Receipt and verification

First computed	2026-05-18T03:59:02.442186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0620aeedd3a8cf33fd794592fd3fae1405eeddb15480452753eff79e33b8a6

Aliases

arxiv: 1203.6462 · arxiv_version: 1203.6462v1 · doi: 10.48550/arxiv.1203.6462 · pith_short_12: 3IDCBLXN2OUM · pith_short_16: 3IDCBLXN2OUM6M75 · pith_short_8: 3IDCBLXN

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/3IDCBLXN2OUM6M75PFCZF7J7VY \
  | 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: da0620aeedd3a8cf33fd794592fd3fae1405eeddb15480452753eff79e33b8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96361a56cb9e049925fc97804cfbfd8202083b4a40fdd2a378f79dec4b284b66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-29T08:11:30Z",
    "title_canon_sha256": "6ae8acbc4438429dbd30475859cb43077111fe761efb1abb930431ae11125bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6462",
    "kind": "arxiv",
    "version": 1
  }
}