Pith Number

pith:PQUHL6E6

pith:2016:PQUHL6E6PLMHK34RMYXBQ2USBP

not attested not anchored not stored refs pending

Vertex weighted Laplacian graph energy and other topological indices

H. Panahbar, Reza Sharafdini

arxiv:1609.01425 v1 · 2016-09-06 · 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{PQUHL6E6PLMHK34RMYXBQ2USBP}

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	2026-05-18T01:04:42.900519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2875f89e7ad8756f91662e186a920bf87b27c8fd6319bf5f8b2be65648231e

Aliases

arxiv: 1609.01425 · arxiv_version: 1609.01425v1 · doi: 10.48550/arxiv.1609.01425 · pith_short_12: PQUHL6E6PLMH · pith_short_16: PQUHL6E6PLMHK34R · pith_short_8: PQUHL6E6

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/PQUHL6E6PLMHK34RMYXBQ2USBP \
  | 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: 7c2875f89e7ad8756f91662e186a920bf87b27c8fd6319bf5f8b2be65648231e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4753cdd6efeffeaa49e9a84664af3c3e32715da43549eaf7aaf450111c24f1b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-06T08:11:56Z",
    "title_canon_sha256": "d9e3cb1f8670ff6bfc39d3da28c7608e3af3c8fcc2c4b8f3d3f4885775fd2feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01425",
    "kind": "arxiv",
    "version": 1
  }
}