Pith Number

pith:AUJXT5DC

pith:2017:AUJXT5DCJ2DQYX5CUNKMGF5NOY

not attested not anchored not stored refs pending

On algorithms to calculate integer complexity

Aaditya Sharma, Alyssa Epstein, Anand Hemmady, Eyvindur A. Palsson, Katherine Cordwell, Stefan Steinerberger, Steven J. Miller, Yen Nhi Truong Vu

arxiv:1706.08424 v4 · 2017-06-26 · 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{AUJXT5DCJ2DQYX5CUNKMGF5NOY}

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	2026-05-17T23:58:05.486430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051379f4624e870c5fa2a354c317ad76068521157195321140802ee78faef889

Aliases

arxiv: 1706.08424 · arxiv_version: 1706.08424v4 · doi: 10.48550/arxiv.1706.08424 · pith_short_12: AUJXT5DCJ2DQ · pith_short_16: AUJXT5DCJ2DQYX5C · pith_short_8: AUJXT5DC

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/AUJXT5DCJ2DQYX5CUNKMGF5NOY \
  | 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: 051379f4624e870c5fa2a354c317ad76068521157195321140802ee78faef889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4648e11c6e0a7af45b3633468e3a0cfb919d9c8d1b24b9662dd85d48c60a1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-26T15:02:26Z",
    "title_canon_sha256": "5fb8b2938303f9c626cabb04cbbcce506e4c0e45675006911b984081cf9493e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08424",
    "kind": "arxiv",
    "version": 4
  }
}