Pith Number

pith:6VUQSFOL

pith:2005:6VUQSFOLHF42UGG662Q2TBAXR6

not attested not anchored not stored refs pending

A generalization of an inequality from IMO 2005

Nikolai Nikolov

arxiv:math/0512172 v1 · 2005-12-08 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VUQSFOLHF42UGG662Q2TBAXR6}

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	2026-05-18T02:35:38.444291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5690915cb3979aa18def6a1a984178f8fec29ca339f47b6e7af96ffab752051

Aliases

arxiv: math/0512172 · arxiv_version: math/0512172v1 · doi: 10.48550/arxiv.math/0512172 · pith_short_12: 6VUQSFOLHF42 · pith_short_16: 6VUQSFOLHF42UGG6 · pith_short_8: 6VUQSFOL

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/6VUQSFOLHF42UGG662Q2TBAXR6 \
  | 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: f5690915cb3979aa18def6a1a984178f8fec29ca339f47b6e7af96ffab752051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df716bc239c31786f52c7dfb64808e0310c756fe9b95d89625b2bfd075ff6e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-12-08T11:40:04Z",
    "title_canon_sha256": "28a066a276a1e322cbdaa03bc6178412d48d9c4c36b849c6de00f7792d79c150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512172",
    "kind": "arxiv",
    "version": 1
  }
}