Pith Number

pith:I2XOKV46

pith:2025:I2XOKV46KKOY2NXJOWUUJJAXE2

not attested not anchored not stored refs pending

Introducing a vertex polynomial invariant for embedded graphs

Metrose Metsidik, Qingying Deng, Qi Yan

arxiv:2506.07522 v1 · 2025-06-09 · 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{I2XOKV46KKOY2NXJOWUUJJAXE2}

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	2026-07-05T11:18:28.798730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46aee5579e529d8d36e975a944a41726b3d110f13255c9b19f698f54472d56d7

Aliases

arxiv: 2506.07522 · arxiv_version: 2506.07522v1 · doi: 10.48550/arxiv.2506.07522 · pith_short_12: I2XOKV46KKOY · pith_short_16: I2XOKV46KKOY2NXJ · pith_short_8: I2XOKV46

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/I2XOKV46KKOY2NXJOWUUJJAXE2 \
  | 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: 46aee5579e529d8d36e975a944a41726b3d110f13255c9b19f698f54472d56d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd7df27e08a4b5da2b22f331775079289b0742cc89a9ccad4156629149782a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-09T07:59:53Z",
    "title_canon_sha256": "754954a1c700e513d5b5fdf93f588bfe1d540a7fb5b3aed4f415ae9582a3b239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07522",
    "kind": "arxiv",
    "version": 1
  }
}