Pith Number

pith:XPFEIKCL

pith:2012:XPFEIKCLGYZU4HMKIYWDQQKOTJ

not attested not anchored not stored refs pending

On the longest length of arithmetic progressions

Huizeng Zhang, Minzhi Zhao

arxiv:1204.1149 v1 · 2012-04-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPFEIKCLGYZU4HMKIYWDQQKOTJ}

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	2026-05-18T03:58:36.238032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbca44284b36334e1d8a462c38414e9a4c5f507917f5df3d0a190f2113e736f5

Aliases

arxiv: 1204.1149 · arxiv_version: 1204.1149v1 · doi: 10.48550/arxiv.1204.1149 · pith_short_12: XPFEIKCLGYZU · pith_short_16: XPFEIKCLGYZU4HMK · pith_short_8: XPFEIKCL

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/XPFEIKCLGYZU4HMKIYWDQQKOTJ \
  | 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: bbca44284b36334e1d8a462c38414e9a4c5f507917f5df3d0a190f2113e736f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e119b3ff9aa7cf78df4cbd90f318f03e57089d6822cdde8e272e9307777a19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-05T08:41:49Z",
    "title_canon_sha256": "23cda572261a7b5893933fbc64c99b1774e79605ea437e2fd6171c364bbfe35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1149",
    "kind": "arxiv",
    "version": 1
  }
}