Pith Number

pith:P7GZAKBK

pith:2022:P7GZAKBK5QIN7LSUUEK4XJ4YPO

not attested not anchored not stored refs pending

Vertex-edge marking score of certain triangular lattices

Adam Kraus, Cordell Hammon, Daniel Herden, Guanjie Huang, Isaac Echols, Jasmin Mohn, Jonathan Meddaugh, Jorge Marchena Menendez, Mark Sepanski, Nina Garcia-Montoya, Rafael Morales Jim\'enez

arxiv:2201.03633 v1 · 2022-01-10 · 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{P7GZAKBK5QIN7LSUUEK4XJ4YPO}

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	2026-07-05T03:47:31.670982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fcd90282aec10dfae54a115cba7987b8fbd2d9b2e1d9a2e8369b5e337ab52e4

Aliases

arxiv: 2201.03633 · arxiv_version: 2201.03633v1 · doi: 10.48550/arxiv.2201.03633 · pith_short_12: P7GZAKBK5QIN · pith_short_16: P7GZAKBK5QIN7LSU · pith_short_8: P7GZAKBK

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/P7GZAKBK5QIN7LSUUEK4XJ4YPO \
  | 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: 7fcd90282aec10dfae54a115cba7987b8fbd2d9b2e1d9a2e8369b5e337ab52e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e3232f57bb439f2218b866038a3aa34db1caa070ba78b251daa5a2c967f403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-10T20:28:48Z",
    "title_canon_sha256": "1ea5d9e11e6410be42209edaeeec3cfb48794c0f4a87777aa9a071950d4a197f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03633",
    "kind": "arxiv",
    "version": 1
  }
}