Pith Number

pith:TFFLWYZX

pith:2013:TFFLWYZXPONLI6VDADESCA6JEL

not attested not anchored not stored refs pending

Boxicity and Cubicity of Product Graphs

Deepak Rajendraprasad, L. Sunil Chandran, Rogers Mathew, Wilfried Imrich

arxiv:1305.5233 v1 · 2013-05-22 · 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{TFFLWYZXPONLI6VDADESCA6JEL}

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	2026-05-18T03:25:06.470083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994abb63377b9ab47aa300c92103c922c6563fbe01bb47f6aea9d59ceb88880a

Aliases

arxiv: 1305.5233 · arxiv_version: 1305.5233v1 · doi: 10.48550/arxiv.1305.5233 · pith_short_12: TFFLWYZXPONL · pith_short_16: TFFLWYZXPONLI6VD · pith_short_8: TFFLWYZX

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/TFFLWYZXPONLI6VDADESCA6JEL \
  | 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: 994abb63377b9ab47aa300c92103c922c6563fbe01bb47f6aea9d59ceb88880a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e84c982eca879781050a5d6f353c6b09d7ead4603d0d44cd0aaad286ddf0d7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-22T19:07:45Z",
    "title_canon_sha256": "72f08e490ae0c8909d0792474e30b8fec3a8af98beccd75a31035941b82ad8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5233",
    "kind": "arxiv",
    "version": 1
  }
}