Pith Number

pith:MNZMOIZW

pith:2014:MNZMOIZW3JHNP65GIPFSZEP7WB

not attested not anchored not stored refs pending

On Linkedness of Cartesian Product of Graphs

Gabor Meszaros

arxiv:1401.7928 v2 · 2014-01-30 · 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{MNZMOIZW3JHNP65GIPFSZEP7WB}

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	2026-05-18T02:46:30.951906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6372c72336da4ed7fba643cb2c91ffb0540d155801befabf7699afd8d8a39543

Aliases

arxiv: 1401.7928 · arxiv_version: 1401.7928v2 · doi: 10.48550/arxiv.1401.7928 · pith_short_12: MNZMOIZW3JHN · pith_short_16: MNZMOIZW3JHNP65G · pith_short_8: MNZMOIZW

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/MNZMOIZW3JHNP65GIPFSZEP7WB \
  | 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: 6372c72336da4ed7fba643cb2c91ffb0540d155801befabf7699afd8d8a39543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51572d429f45ed823bd177b85b5c5a8d7f232f2f5142f8ddaf63c424b5ebd48a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-30T17:25:29Z",
    "title_canon_sha256": "1c175d408de7cee5847278bbf51ea18fb72a3c6b5e32b35c7db54769466aff99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7928",
    "kind": "arxiv",
    "version": 2
  }
}