Pith Number

pith:BUNYNQOF

pith:2014:BUNYNQOFVOCCFGWLYIEHLIFQ6T

not attested not anchored not stored refs pending

On sums of Szemer\'edi--Trotter sets

Ilya D. Shkredov

arxiv:1410.5662 v1 · 2014-10-21 · 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{BUNYNQOFVOCCFGWLYIEHLIFQ6T}

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	2026-05-18T02:39:39.369756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1b86c1c5ab84229acbc20875a0b0f4f3c6a375e1023603fd131199d94f3146

Aliases

arxiv: 1410.5662 · arxiv_version: 1410.5662v1 · doi: 10.48550/arxiv.1410.5662 · pith_short_12: BUNYNQOFVOCC · pith_short_16: BUNYNQOFVOCCFGWL · pith_short_8: BUNYNQOF

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/BUNYNQOFVOCCFGWLYIEHLIFQ6T \
  | 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: 0d1b86c1c5ab84229acbc20875a0b0f4f3c6a375e1023603fd131199d94f3146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f041c1d92ccc3d9957359f1c5477a1b391358f58e5a4b0d6f6a380df97f1972",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-21T13:59:01Z",
    "title_canon_sha256": "8f40c2b7a5eadd3375375c41fd34e0354b956376b5033f1bc833434c22a05ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5662",
    "kind": "arxiv",
    "version": 1
  }
}