Pith Number

pith:D5ZLJJU2

pith:2026:D5ZLJJU2KEBPRVQ4JKEJDYYQS6

not attested not anchored not stored refs pending

An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains

Hung Manh Tran, Shuhei Tsujie, Tan Nhat Tran

arxiv:2605.20629 v1 · 2026-05-20 · 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{D5ZLJJU2KEBPRVQ4JKEJDYYQS6}

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	2026-05-21T01:04:45.671437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f72b4a69a5102f8d61c4a8891e31097b8906c0def9bc9c77b1410868dbc43ba

Aliases

arxiv: 2605.20629 · arxiv_version: 2605.20629v1 · doi: 10.48550/arxiv.2605.20629 · pith_short_12: D5ZLJJU2KEBP · pith_short_16: D5ZLJJU2KEBPRVQ4 · pith_short_8: D5ZLJJU2

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/D5ZLJJU2KEBPRVQ4JKEJDYYQS6 \
  | 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: 1f72b4a69a5102f8d61c4a8891e31097b8906c0def9bc9c77b1410868dbc43ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed12fb8ad3bd00bc644f73b9109bcd6bc71ead6617abdd24b2cd04d132060ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T02:25:56Z",
    "title_canon_sha256": "5d0bd23ff96548161bf1792f392d016f0a824d3c6aac0fe988525981e7d4eb6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20629",
    "kind": "arxiv",
    "version": 1
  }
}