Pith Number

pith:IAQNCWPJ

pith:2020:IAQNCWPJWZY4QZBXMFLE26QEI7

not attested not anchored not stored refs pending

On the Thue-Vinogradov Lemma

Jozsef Solymosi

arxiv:2006.12319 v4 · 2020-06-22 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAQNCWPJWZY4QZBXMFLE26QEI7}

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	2026-07-05T01:38:19.197896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4020d159e9b671c8643761564d7a0447eb7fb01b3626c0e88b1ef9a29e1ae2c1

Aliases

arxiv: 2006.12319 · arxiv_version: 2006.12319v4 · doi: 10.48550/arxiv.2006.12319 · pith_short_12: IAQNCWPJWZY4 · pith_short_16: IAQNCWPJWZY4QZBX · pith_short_8: IAQNCWPJ

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/IAQNCWPJWZY4QZBXMFLE26QEI7 \
  | 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: 4020d159e9b671c8643761564d7a0447eb7fb01b3626c0e88b1ef9a29e1ae2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61bab80b82072495ea9e720daba20de078e372c538090700be52a97a9fe28e6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-22T15:00:15Z",
    "title_canon_sha256": "d22abc1ad9e5c8f28df1232317bb9323b69e0e3641a7e028042a533074387742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12319",
    "kind": "arxiv",
    "version": 4
  }
}