Pith Number

pith:IOUAOGDQ

pith:2017:IOUAOGDQG2IJEFLCYJUH5IXKQY

not attested not anchored not stored refs pending

F-index of graphs based on new operations related to the join of graphs

Anita Pal, Nilanjan De, Prosanta Sarkar

arxiv:1709.06301 v1 · 2017-09-19 · 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{IOUAOGDQG2IJEFLCYJUH5IXKQY}

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	2026-05-18T00:34:53.633971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a80718703690921562c2687ea2ea8633cfd7a5877ba8a81f5218587042033e

Aliases

arxiv: 1709.06301 · arxiv_version: 1709.06301v1 · doi: 10.48550/arxiv.1709.06301 · pith_short_12: IOUAOGDQG2IJ · pith_short_16: IOUAOGDQG2IJEFLC · pith_short_8: IOUAOGDQ

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/IOUAOGDQG2IJEFLCYJUH5IXKQY \
  | 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: 43a80718703690921562c2687ea2ea8633cfd7a5877ba8a81f5218587042033e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e661ba5f38fbf1871ee0651c6d176fc330c21160f4eb5f4616733f292f47f55",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-19T09:00:15Z",
    "title_canon_sha256": "9d4ff84a463adff5a647357faef20790a8f90ae994d167542085863b394581c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06301",
    "kind": "arxiv",
    "version": 1
  }
}