Pith Number

pith:PIIZB4WH

pith:2017:PIIZB4WHR4SK3WWV3DDITF3IDC

not attested not anchored not stored refs pending

Some Results on [1, k]-sets of Lexicographic Products of Graphs

M.R. Hooshmandasl, P. Sharifani

arxiv:1708.00219 v1 · 2017-08-01 · 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{PIIZB4WHR4SK3WWV3DDITF3IDC}

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	2026-05-18T00:39:05.776176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1190f2c78f24addad5d8c689976818a470b537edc25f49f5ef2256fa136a59

Aliases

arxiv: 1708.00219 · arxiv_version: 1708.00219v1 · doi: 10.48550/arxiv.1708.00219 · pith_short_12: PIIZB4WHR4SK · pith_short_16: PIIZB4WHR4SK3WWV · pith_short_8: PIIZB4WH

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/PIIZB4WHR4SK3WWV3DDITF3IDC \
  | 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: 7a1190f2c78f24addad5d8c689976818a470b537edc25f49f5ef2256fa136a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1517ec0d1e92a3ef8fde7403e21ea7194543955736d49bab0801170fb8923d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-08-01T09:30:40Z",
    "title_canon_sha256": "c3b60d746343e18b316c2da316196b3dad0e57d3cc5cd255623f73aba1a34ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00219",
    "kind": "arxiv",
    "version": 1
  }
}