Pith Number

pith:CUAYMAUG

pith:2010:CUAYMAUGQHBS7AJB2K7YFJ3TGQ

not attested not anchored not stored refs pending

Robin inequality for $7-$free integers

Michel Planat (FEMTO-ST), Patrick Sol\'e

arxiv:1012.0671 v1 · 2010-12-03 · math.NT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T04:06:45.072130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150186028681c32f8121d2bf82a773340b7d6887ae26c20464d622eb363b3879

Aliases

arxiv: 1012.0671 · arxiv_version: 1012.0671v1 · doi: 10.48550/arxiv.1012.0671 · pith_short_12: CUAYMAUGQHBS · pith_short_16: CUAYMAUGQHBS7AJB · pith_short_8: CUAYMAUG

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/CUAYMAUGQHBS7AJB2K7YFJ3TGQ \
  | 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: 150186028681c32f8121d2bf82a773340b7d6887ae26c20464d622eb363b3879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19861e59fe7c32450b6a34b725666750dc2d7ec388fef081f3c8a58edd28c953",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-03T09:25:19Z",
    "title_canon_sha256": "2efac7e1cab3d3b853a09e2faf90bb7264ea4e75803a94b5c4e949ab447edb6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0671",
    "kind": "arxiv",
    "version": 1
  }
}