Pith Number

pith:IGEWY6K4

pith:2016:IGEWY6K4LWWMP4PXWY2E7FUML4

not attested not anchored not stored refs pending

A lower bound of Ruzsa's number related to the Erd\H{o}s-Tur\'an conjecture

Csaba S\'andor, Quan-Hui Yang

arxiv:1612.08722 v1 · 2016-12-27 · 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{IGEWY6K4LWWMP4PXWY2E7FUML4}

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	2026-05-18T00:53:52.277906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41896c795c5dacc7f1f7b6344f968c5f2f01a70fe5c5f767b1727f25ec85ebc3

Aliases

arxiv: 1612.08722 · arxiv_version: 1612.08722v1 · doi: 10.48550/arxiv.1612.08722 · pith_short_12: IGEWY6K4LWWM · pith_short_16: IGEWY6K4LWWMP4PX · pith_short_8: IGEWY6K4

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/IGEWY6K4LWWMP4PXWY2E7FUML4 \
  | 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: 41896c795c5dacc7f1f7b6344f968c5f2f01a70fe5c5f767b1727f25ec85ebc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3349d35ab9cd81ea95e3895af5cca9f9bcee100e4f1189a347f7119d75af1df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-27T20:06:13Z",
    "title_canon_sha256": "a4d7eb8c1a92af7675d72a98dd2951e07afdd887d35f95cfcbedc76712e5e99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08722",
    "kind": "arxiv",
    "version": 1
  }
}