Pith Number

pith:6JSBPQGN

pith:2026:6JSBPQGNV75HU2ST7RY75LI4WM

not attested not anchored not stored refs pending

Multiset Partition Dimension of Graphs

Azzah Albejania, Joe Ryan, Kiki A. Sugeng, Yuqing Lin

arxiv:2607.07407 v1 · 2026-07-08 · 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{6JSBPQGNV75HU2ST7RY75LI4WM}

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	2026-07-09T01:20:24.167682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f26417c0cdaffa7a6a53fc71fead1cb330dac3fcf71d10d9406352528c7857ea

Aliases

arxiv: 2607.07407 · arxiv_version: 2607.07407v1 · doi: 10.48550/arxiv.2607.07407 · pith_short_12: 6JSBPQGNV75H · pith_short_16: 6JSBPQGNV75HU2ST · pith_short_8: 6JSBPQGN

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/6JSBPQGNV75HU2ST7RY75LI4WM \
  | 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: f26417c0cdaffa7a6a53fc71fead1cb330dac3fcf71d10d9406352528c7857ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5029223e65cea58949ace610c166d4e3d96e4e0bbc1740627726fe408a4d1173",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T13:40:21Z",
    "title_canon_sha256": "b0a9dc5b7ba076251972664104593bbd2f1d8f0dcc66c15e73a3c4701c08cfaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07407",
    "kind": "arxiv",
    "version": 1
  }
}