Pith Number

pith:ICAGFCN4

pith:2013:ICAGFCN44CPENBRZY3QERHQN33

not attested not anchored not stored refs pending

Arithmetic progressions in sets of small doubling

Kevin Henriot

arxiv:1308.5248 v2 · 2013-08-23 · math.CO · 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{ICAGFCN44CPENBRZY3QERHQN33}

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	2026-05-18T01:20:12.521582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40806289bce09e468639c6e0489e0dded8667c4718029e10991c7e88645b8310

Aliases

arxiv: 1308.5248 · arxiv_version: 1308.5248v2 · doi: 10.48550/arxiv.1308.5248 · pith_short_12: ICAGFCN44CPE · pith_short_16: ICAGFCN44CPENBRZ · pith_short_8: ICAGFCN4

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/ICAGFCN44CPENBRZY3QERHQN33 \
  | 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: 40806289bce09e468639c6e0489e0dded8667c4718029e10991c7e88645b8310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8522d94c0b365fd45e4332f15153028f450928e3312c206f7e2f735e3585f4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-23T21:27:46Z",
    "title_canon_sha256": "7c0feb4e580da99fc27e8d5aec41bf169e9c9b3473b18a7d2dfd7d377058dd6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5248",
    "kind": "arxiv",
    "version": 2
  }
}