Pith Number

pith:5DAFP6RQ

pith:2026:5DAFP6RQ3THLPEC3YQDUG5AXOV

not attested not anchored not stored refs pending

A Survey on Multiset Dimension and Its Variations

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

arxiv:2607.08128 v1 · 2026-07-09 · 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{5DAFP6RQ3THLPEC3YQDUG5AXOV}

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	2026-07-10T01:19:27.430749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c057fa30dcceb7905bc407437417756a48c12bd46e3ed22da2488529aa09cc

Aliases

arxiv: 2607.08128 · arxiv_version: 2607.08128v1 · doi: 10.48550/arxiv.2607.08128 · pith_short_12: 5DAFP6RQ3THL · pith_short_16: 5DAFP6RQ3THLPEC3 · pith_short_8: 5DAFP6RQ

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/5DAFP6RQ3THLPEC3YQDUG5AXOV \
  | 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: e8c057fa30dcceb7905bc407437417756a48c12bd46e3ed22da2488529aa09cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c0fd8252376847c0150a4dfc05993d07f4a408aae7041f32bb8cc81fce2056",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-09T05:56:53Z",
    "title_canon_sha256": "eb114528c16c415fb922143d0f091a1cae974d1f608d849cd1bbed3046436be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08128",
    "kind": "arxiv",
    "version": 1
  }
}