Pith Number

pith:L4FFMC3I

pith:2026:L4FFMC3IFHI3TY66NFEQ4PKZNL

not attested not anchored not stored refs pending

A Non-Multiplicable Upho Poset Constructed from the Petersen Graph

Ryunosuke Matsuoka

arxiv:2606.17549 v2 · 2026-06-16 · 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{L4FFMC3IFHI3TY66NFEQ4PKZNL}

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	2026-06-19T16:11:38.616426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0a560b6829d1b9e3de69490e3d596ac41770054945b863415f8a772de783bd

Aliases

arxiv: 2606.17549 · arxiv_version: 2606.17549v2 · doi: 10.48550/arxiv.2606.17549 · pith_short_12: L4FFMC3IFHI3 · pith_short_16: L4FFMC3IFHI3TY66 · pith_short_8: L4FFMC3I

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/L4FFMC3IFHI3TY66NFEQ4PKZNL \
  | 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: 5f0a560b6829d1b9e3de69490e3d596ac41770054945b863415f8a772de783bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc204ae1bbed15bb599e083d0368ec927e9a1dc97ba341242b61859fbdee1a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T05:52:25Z",
    "title_canon_sha256": "aa95480f88e942aa2956ee97996ca64bb7d67f43958be68dae410a80f74c785b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17549",
    "kind": "arxiv",
    "version": 2
  }
}