Pith Number

pith:SMF5TYGW

pith:2013:SMF5TYGWJWZESW52446LUBNIIV

not attested not anchored not stored refs pending

On The Hereditary Discrepancy of Homogeneous Arithmetic Progressions

Aleksandar Nikolov, Kunal Talwar

arxiv:1309.6034 v2 · 2013-09-24 · 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{SMF5TYGWJWZESW52446LUBNIIV}

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	2026-05-18T02:19:16.963891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930bd9e0d64db2495bbae73cba05a8455627d902a25cf3084364a40cabe40122

Aliases

arxiv: 1309.6034 · arxiv_version: 1309.6034v2 · doi: 10.48550/arxiv.1309.6034 · pith_short_12: SMF5TYGWJWZE · pith_short_16: SMF5TYGWJWZESW52 · pith_short_8: SMF5TYGW

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/SMF5TYGWJWZESW52446LUBNIIV \
  | 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: 930bd9e0d64db2495bbae73cba05a8455627d902a25cf3084364a40cabe40122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcacc609c5c351a69bc12066af6efc316193b520f192100db27c6aff0a797e7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-24T03:07:27Z",
    "title_canon_sha256": "4ae7393be1d031ff26da44d4a96af77561d855ac0be12b5cfeab8dd6f36f864d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6034",
    "kind": "arxiv",
    "version": 2
  }
}