Pith Number

pith:AIQVE4WR

pith:2013:AIQVE4WRUTZHZO3GZH7CHGZYZI

not attested not anchored not stored refs pending

A dichotomy for the stability of arithmetic progressions

Jon Chaika, Michael Boshernitzan

arxiv:1303.4684 v1 · 2013-03-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIQVE4WRUTZHZO3GZH7CHGZYZI}

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	2026-05-18T03:30:26.533333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02215272d1a4f27cbb66c9fe239b38ca2eb12d2ce589b89ef7051d17e35f0f19

Aliases

arxiv: 1303.4684 · arxiv_version: 1303.4684v1 · doi: 10.48550/arxiv.1303.4684 · pith_short_12: AIQVE4WRUTZH · pith_short_16: AIQVE4WRUTZHZO3G · pith_short_8: AIQVE4WR

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/AIQVE4WRUTZHZO3GZH7CHGZYZI \
  | 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: 02215272d1a4f27cbb66c9fe239b38ca2eb12d2ce589b89ef7051d17e35f0f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c832f2cc1f49d99edc7a97eeb6c81d443d758c1f79289a0a972c7dd15ff8e5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-19T18:11:38Z",
    "title_canon_sha256": "c4b92a6ac1af15ea53118ec4caedf20e1d6abc1b4f38fccfe2bf8838779a0332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4684",
    "kind": "arxiv",
    "version": 1
  }
}