Pith Number

pith:V3TZ5G4W

pith:2019:V3TZ5G4WQJ6KEHI3OHBFO6LUPI

not attested not anchored not stored refs pending

Cospectral Bipartite Graphs with the Same Degree Sequences but with Different Number of Large Cycles

Ali Dehghan, Amir H. Banihashemi

arxiv:1905.13228 v1 · 2019-05-31 · cs.DM · 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{V3TZ5G4WQJ6KEHI3OHBFO6LUPI}

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	2026-05-17T23:44:37.246023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee79e9b96827ca21d1b71c25779747a142666199045599f9c974476d3de27bc

Aliases

arxiv: 1905.13228 · arxiv_version: 1905.13228v1 · doi: 10.48550/arxiv.1905.13228 · pith_short_12: V3TZ5G4WQJ6K · pith_short_16: V3TZ5G4WQJ6KEHI3 · pith_short_8: V3TZ5G4W

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/V3TZ5G4WQJ6KEHI3OHBFO6LUPI \
  | 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: aee79e9b96827ca21d1b71c25779747a142666199045599f9c974476d3de27bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab164a2be3125d2825bc2751f9328c1362abb09d769a01568887a5f6d05e1621",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-05-31T01:09:34Z",
    "title_canon_sha256": "e31b831725394921d3082a691c167ea4ef2753a6772dbb76a98d1ad568959ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13228",
    "kind": "arxiv",
    "version": 1
  }
}