Pith Number

pith:SUCWBEJT

pith:2018:SUCWBEJTA3ITRCDDADYNXVLJ43

not attested not anchored not stored refs pending

Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon

Cristina G. Fernandes, Jorge Luis Ram\'irez Alfons\'in, Jos\'e C. de Pina, Sinai Robins

arxiv:1802.07164 v1 · 2018-02-20 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUCWBEJTA3ITRCDDADYNXVLJ43}

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	2026-05-18T00:22:53.424687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

950560913306d138886300f0dbd569e6d094549610aa4f49df2b40ef954fd43b

Aliases

arxiv: 1802.07164 · arxiv_version: 1802.07164v1 · doi: 10.48550/arxiv.1802.07164 · pith_short_12: SUCWBEJTA3IT · pith_short_16: SUCWBEJTA3ITRCDD · pith_short_8: SUCWBEJT

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/SUCWBEJTA3ITRCDDADYNXVLJ43 \
  | 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: 950560913306d138886300f0dbd569e6d094549610aa4f49df2b40ef954fd43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f752784427b388f25bff2805c63195f0f4253b3e8a5cb9b647e368e795f7ae",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-20T15:58:32Z",
    "title_canon_sha256": "4a95c34bf4736b958ee181aa26b1497e67ddd7e71f9aa0bd096e6c5b2f6d6828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07164",
    "kind": "arxiv",
    "version": 1
  }
}