Pith Number

pith:TTC3HJPS

pith:2011:TTC3HJPS2PFRI4BH7RZSXABFTS

not attested not anchored not stored refs pending

On the Zagreb Indices Equality

Darko Dimitrov, Hosam Abdo, Ivan Gutman

arxiv:1106.1809 v1 · 2011-06-09 · 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{TTC3HJPS2PFRI4BH7RZSXABFTS}

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	2026-05-18T02:21:44.016635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc5b3a5f2d3cb147027fc732b80259c9af0aff2cbf042337abe3f2b4502c8bd

Aliases

arxiv: 1106.1809 · arxiv_version: 1106.1809v1 · doi: 10.48550/arxiv.1106.1809 · pith_short_12: TTC3HJPS2PFR · pith_short_16: TTC3HJPS2PFRI4BH · pith_short_8: TTC3HJPS

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/TTC3HJPS2PFRI4BH7RZSXABFTS \
  | 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: 9cc5b3a5f2d3cb147027fc732b80259c9af0aff2cbf042337abe3f2b4502c8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b34e6c23948c04bc89ec271baa59ba9d67c6a94f25eff574c3e526f67ab804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-09T13:43:40Z",
    "title_canon_sha256": "50001e726797d14500a48307b892ab2dadde5f65ccd7c2c7a6f676d632a9ad2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1809",
    "kind": "arxiv",
    "version": 1
  }
}