Pith Number

pith:TN62W2VM

pith:2013:TN62W2VMVCIWKT3VXS3KXLBNJ4

not attested not anchored not stored refs pending

Covering an arithmetic progression with geometric progressions and vice versa

Carlo Sanna

arxiv:1311.4331 v1 · 2013-11-18 · 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{TN62W2VMVCIWKT3VXS3KXLBNJ4}

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	2026-05-18T02:42:39.551568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7dab6aaca891654f75bcb6abac2d4f128a9065de494e026d85e439bc9993fb

Aliases

arxiv: 1311.4331 · arxiv_version: 1311.4331v1 · doi: 10.48550/arxiv.1311.4331 · pith_short_12: TN62W2VMVCIW · pith_short_16: TN62W2VMVCIWKT3V · pith_short_8: TN62W2VM

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/TN62W2VMVCIWKT3VXS3KXLBNJ4 \
  | 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: 9b7dab6aaca891654f75bcb6abac2d4f128a9065de494e026d85e439bc9993fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8445ca7e272dc1301241be9e9828c6d4e4288111b8a14764c8518b544e599dbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-18T11:09:26Z",
    "title_canon_sha256": "08290af18a0f2065372c99e78419f35718c1399b4912ad61284541fa2a3c7e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4331",
    "kind": "arxiv",
    "version": 1
  }
}