Pith Number

pith:VPUCDJPW

pith:2025:VPUCDJPWRZVKBGI5BI7N4VOOZM

not attested not anchored not stored refs pending

Exponents of 2-multiarrangements of three lines over fields of positive characteristic

Ryo Uchiumi, Shuhei Tsujie

arxiv:2506.07070 v3 · 2025-06-08 · 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{VPUCDJPWRZVKBGI5BI7N4VOOZM}

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	2026-07-05T11:24:22.301874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe821a5f68e6aa0991d0a3ede55cecb233f138868439f5527f8ab319190f730

Aliases

arxiv: 2506.07070 · arxiv_version: 2506.07070v3 · doi: 10.48550/arxiv.2506.07070 · pith_short_12: VPUCDJPWRZVK · pith_short_16: VPUCDJPWRZVKBGI5 · pith_short_8: VPUCDJPW

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/VPUCDJPWRZVKBGI5BI7N4VOOZM \
  | 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: abe821a5f68e6aa0991d0a3ede55cecb233f138868439f5527f8ab319190f730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b0e1e01b84e3f80b84fd9b9b26d19ec6d49e1f2adc846f2fc317f7e82efc5fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-08T10:19:34Z",
    "title_canon_sha256": "34576430c08f8136b3b586b2141454c290ea048d2e642fde9953aa180e817a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07070",
    "kind": "arxiv",
    "version": 3
  }
}