Pith Number

pith:HAA2XVRN

pith:2025:HAA2XVRNGCCENGVWHC4SXIC2CL

not attested not anchored not stored refs pending

Vulnerability Measures and Zagreb Indices of Graphs

Cheng Chang, Sanju Vaidya

arxiv:2505.24707 v1 · 2025-05-30 · 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{HAA2XVRNGCCENGVWHC4SXIC2CL}

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	2026-07-05T11:12:55.117031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3801abd62d3084469ab638b92ba05a12e98f1b5b54fcb104a61b0b21cb520680

Aliases

arxiv: 2505.24707 · arxiv_version: 2505.24707v1 · doi: 10.48550/arxiv.2505.24707 · pith_short_12: HAA2XVRNGCCE · pith_short_16: HAA2XVRNGCCENGVW · pith_short_8: HAA2XVRN

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/HAA2XVRNGCCENGVWHC4SXIC2CL \
  | 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: 3801abd62d3084469ab638b92ba05a12e98f1b5b54fcb104a61b0b21cb520680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53302fedbdb64fa112700d9d6bfcb15ca3a8cfa83ee481dcf8a09563f78d14d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-30T15:28:59Z",
    "title_canon_sha256": "a9867ba52596b37ba20f1b3d077f5be1c54d104c4b3a74ca4b1537c0e3354c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24707",
    "kind": "arxiv",
    "version": 1
  }
}