Pith Number

pith:4YU4JC23

pith:2017:4YU4JC23DDJQN62KHFRVFHCYLD

not attested not anchored not stored refs pending

F-index of graphs based on four operations related to the lexicographic product

Nilanjan De

arxiv:1706.00464 v1 · 2017-06-01 · 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{4YU4JC23DDJQN62KHFRVFHCYLD}

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	2026-05-18T00:43:13.753237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e629c48b5b18d306fb4a3963529c5858f0f9e8721149b54e0de234a9a1d346ae

Aliases

arxiv: 1706.00464 · arxiv_version: 1706.00464v1 · doi: 10.48550/arxiv.1706.00464 · pith_short_12: 4YU4JC23DDJQ · pith_short_16: 4YU4JC23DDJQN62K · pith_short_8: 4YU4JC23

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/4YU4JC23DDJQN62KHFRVFHCYLD \
  | 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: e629c48b5b18d306fb4a3963529c5858f0f9e8721149b54e0de234a9a1d346ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afe14f76a0aaf9473db70a82e8718c9be0dfe34d18be305068090200ba63270",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-06-01T19:19:19Z",
    "title_canon_sha256": "5c6cb7a5a19d237a581ce71648ca5cdf976cc0855f90d3e90fe3df21e0057fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00464",
    "kind": "arxiv",
    "version": 1
  }
}