Pith Number

pith:ASMVXRLT

pith:2013:ASMVXRLTVOR7H74BEQHYUA5ZWH

not attested not anchored not stored refs pending

On sequences without geometric progressions

Kevin O'Bryant, Melvyn B. Nathanson

arxiv:1306.0280 v2 · 2013-06-03 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASMVXRLTVOR7H74BEQHYUA5ZWH}

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	2026-05-18T03:03:32.134721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04995bc573aba3f3ff81240f8a03b9b1e8bc1acd79b88e4d9ce845dc962e83f8

Aliases

arxiv: 1306.0280 · arxiv_version: 1306.0280v2 · doi: 10.48550/arxiv.1306.0280 · pith_short_12: ASMVXRLTVOR7 · pith_short_16: ASMVXRLTVOR7H74B · pith_short_8: ASMVXRLT

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/ASMVXRLTVOR7H74BEQHYUA5ZWH \
  | 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: 04995bc573aba3f3ff81240f8a03b9b1e8bc1acd79b88e4d9ce845dc962e83f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648234449311ad6a4e4c521501ca676b562cf8e12f98c1db5aba1e0dc4400852",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-03T03:03:08Z",
    "title_canon_sha256": "ed90a4ae0a556408e85e910ad9412ab21a791936bef2977bf365e3a77ff45ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0280",
    "kind": "arxiv",
    "version": 2
  }
}