Pith Number

pith:26GH3XPR

pith:2014:26GH3XPR2TSF3ZSXBX53DOOS3W

not attested not anchored not stored refs pending

A quantitative improvement for Roth's theorem on arithmetic progressions

Thomas F. Bloom

arxiv:1405.5800 v2 · 2014-05-22 · 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{26GH3XPR2TSF3ZSXBX53DOOS3W}

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	2026-05-18T00:44:28.998883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78c7dddf1d4e45de6570dfbb1b9d2ddaf6a922e7ecf0f6966a79bd6c06d9c1a

Aliases

arxiv: 1405.5800 · arxiv_version: 1405.5800v2 · doi: 10.48550/arxiv.1405.5800 · pith_short_12: 26GH3XPR2TSF · pith_short_16: 26GH3XPR2TSF3ZSX · pith_short_8: 26GH3XPR

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/26GH3XPR2TSF3ZSXBX53DOOS3W \
  | 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: d78c7dddf1d4e45de6570dfbb1b9d2ddaf6a922e7ecf0f6966a79bd6c06d9c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb25b2135dc1e79661f49777ce2ea518ff99c19da815c54037d8a22f6dfa630",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-22T15:41:58Z",
    "title_canon_sha256": "d43bde6a85b608ecc45c288a6f767ff9d806a6ce86ccb7fd731fa8e09bf5d858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5800",
    "kind": "arxiv",
    "version": 2
  }
}