Pith Number

pith:N55XDS23

pith:2015:N55XDS23RBJ4ZIZERA5KV3QQDP

not attested not anchored not stored refs pending

On extremal trees with respect to the $F$-index

Darko Dimitrov, Hosam Abdo, Ivan Gutman

arxiv:1509.03574 v2 · 2015-09-11 · 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{N55XDS23RBJ4ZIZERA5KV3QQDP}

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	2026-05-18T01:32:43.290548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7b71cb5b8853cca324883aaaee101be3b5e18ff53f4dd6ff4b2c959490ddfe

Aliases

arxiv: 1509.03574 · arxiv_version: 1509.03574v2 · doi: 10.48550/arxiv.1509.03574 · pith_short_12: N55XDS23RBJ4 · pith_short_16: N55XDS23RBJ4ZIZE · pith_short_8: N55XDS23

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/N55XDS23RBJ4ZIZERA5KV3QQDP \
  | 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: 6f7b71cb5b8853cca324883aaaee101be3b5e18ff53f4dd6ff4b2c959490ddfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19de462a8f2d6f7fdeb4ee49e4a37f9c2e3356563bc54f3d9d62f06b68da4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-09-11T16:14:36Z",
    "title_canon_sha256": "fb2c2f8295f5ed31e62f56b15d65b3f4e205399b355f61e33fca0139d41a80d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03574",
    "kind": "arxiv",
    "version": 2
  }
}