Pith Number

pith:J62LVZTY

pith:2015:J62LVZTYFQGVMUGNXIZSTQWQME

not attested not anchored not stored refs pending

Extremal k-apex Trees for Randic Index

Ioan Tomescu, Muhammad Kamran Jamil, Naveed Akhter

arxiv:1512.02127 v1 · 2015-12-07 · 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{J62LVZTYFQGVMUGNXIZSTQWQME}

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	2026-05-18T01:25:09.539198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb4bae6782c0d5650cdba3329c2d06121ab212a2d7ad201079e3035e97efdbc

Aliases

arxiv: 1512.02127 · arxiv_version: 1512.02127v1 · doi: 10.48550/arxiv.1512.02127 · pith_short_12: J62LVZTYFQGV · pith_short_16: J62LVZTYFQGVMUGN · pith_short_8: J62LVZTY

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/J62LVZTYFQGVMUGNXIZSTQWQME \
  | 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: 4fb4bae6782c0d5650cdba3329c2d06121ab212a2d7ad201079e3035e97efdbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca45220e6074a24d18984845358f0a04e1dc89ee54238c697701ede3d337cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-07T17:16:20Z",
    "title_canon_sha256": "7aaafe86cdbda64fcc99a0c608f4b35b1b637b40383b32cdd61785608dc3b211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02127",
    "kind": "arxiv",
    "version": 1
  }
}