Pith Number

pith:MVYPQ3SF

pith:2022:MVYPQ3SF5DHVWPUVM3BRSMCQZQ

not attested not anchored not stored refs pending

Highly symmetric lines

Mikhail Ganzhinov

arxiv:2207.08266 v1 · 2022-07-17 · math.FA · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVYPQ3SF5DHVWPUVM3BRSMCQZQ}

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.

Cited by

1 paper in Pith

AlphaEvolve: A coding agent for scientific and algorithmic discovery

Receipt and verification

First computed	2026-07-05T04:41:02.653954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6570f86e45e8cf5b3e9566c3193050cc2ad92496494946dee3d7fa103275a744

Aliases

arxiv: 2207.08266 · arxiv_version: 2207.08266v1 · doi: 10.48550/arxiv.2207.08266 · pith_short_12: MVYPQ3SF5DHV · pith_short_16: MVYPQ3SF5DHVWPUV · pith_short_8: MVYPQ3SF

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/MVYPQ3SF5DHVWPUVM3BRSMCQZQ \
  | 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: 6570f86e45e8cf5b3e9566c3193050cc2ad92496494946dee3d7fa103275a744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59bc5354d390f6806a9a229721801a07c20fd49f6f0e7d6e8e56a789ce0f31d",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-07-17T19:27:10Z",
    "title_canon_sha256": "de936bee897eadbd7ba2375f2e297d8d3fe17681c48417df767c6b66b989ea4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08266",
    "kind": "arxiv",
    "version": 1
  }
}