Pith Number

pith:J5CM6DWY

pith:2016:J5CM6DWYD6KY5XVHM5Z2VEJQOD

not attested not anchored not stored refs pending

Sums of the digits in bases 2 and 3

Bernard Landreau (AG), Jean-Marc Deshouillers (IMB), Laurent Habsieger (ICJ), Shanta Laishram

arxiv:1611.08180 v1 · 2016-11-24 · 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{J5CM6DWYD6KY5XVHM5Z2VEJQOD}

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	2026-05-18T00:56:44.090637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f44cf0ed81f958edea76773aa913070ee6c21099af2d8a7c54ee386d73931bb

Aliases

arxiv: 1611.08180 · arxiv_version: 1611.08180v1 · doi: 10.48550/arxiv.1611.08180 · pith_short_12: J5CM6DWYD6KY · pith_short_16: J5CM6DWYD6KY5XVH · pith_short_8: J5CM6DWY

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/J5CM6DWYD6KY5XVHM5Z2VEJQOD \
  | 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: 4f44cf0ed81f958edea76773aa913070ee6c21099af2d8a7c54ee386d73931bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de74eeb63d953f6c2b6f33f453b28f2083420ab30f808792c46d28b306c8d902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-24T13:40:26Z",
    "title_canon_sha256": "0519de5c2d6a616406e65834de79a30906940769d802cb680f230171c7a321b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08180",
    "kind": "arxiv",
    "version": 1
  }
}