Pith Number

pith:FP5T7L2G

pith:2010:FP5T7L2G4MMK27LBVB4MRF3UWZ

not attested not anchored not stored refs pending

On Roth's theorem on progressions

Tom Sanders

arxiv:1011.0104 v3 · 2010-10-30 · math.CA · 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{FP5T7L2G4MMK27LBVB4MRF3UWZ}

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	2026-05-18T03:39:29.439304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bfb3faf46e318ad7d61a878c89774b654707c8e30fcabd47cbaa73ac6509fd4

Aliases

arxiv: 1011.0104 · arxiv_version: 1011.0104v3 · doi: 10.48550/arxiv.1011.0104 · pith_short_12: FP5T7L2G4MMK · pith_short_16: FP5T7L2G4MMK27LB · pith_short_8: FP5T7L2G

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/FP5T7L2G4MMK27LBVB4MRF3UWZ \
  | 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: 2bfb3faf46e318ad7d61a878c89774b654707c8e30fcabd47cbaa73ac6509fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2333b885218aa99cfb02cef55875057801c1af57329a579a91735e98257a6fef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-30T20:32:33Z",
    "title_canon_sha256": "1f6475fe3838779ea36044408a752c8f0684ede84f2f6ad91e613058d587b0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0104",
    "kind": "arxiv",
    "version": 3
  }
}