Pith Number

pith:W2WCKRM7

pith:2011:W2WCKRM7HRYPGUKPQVUIGLYAZR

not attested not anchored not stored refs pending

Majorization under constraints and bounds of the second Zagreb index

Alessandra Cornaro, Anna Torriero, Monica Bianchi

arxiv:1105.1888 v1 · 2011-05-10 · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2WCKRM7HRYPGUKPQVUIGLYAZR}

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	2026-05-18T02:20:20.252060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ac25459f3c70f3514f8568832f00cc7992959bc97bf93e663226e4b2f5549a

Aliases

arxiv: 1105.1888 · arxiv_version: 1105.1888v1 · doi: 10.48550/arxiv.1105.1888 · pith_short_12: W2WCKRM7HRYP · pith_short_16: W2WCKRM7HRYPGUKP · pith_short_8: W2WCKRM7

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/W2WCKRM7HRYPGUKPQVUIGLYAZR \
  | 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: b6ac25459f3c70f3514f8568832f00cc7992959bc97bf93e663226e4b2f5549a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6227d8626d094489962fca42c897bb6bcab52d27d51e4a3e23735e16dd3abf",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-10T09:19:36Z",
    "title_canon_sha256": "31cc16f2eecf013495905aa0967ff1390642683e26bedc2ca5a65aa754a802f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1888",
    "kind": "arxiv",
    "version": 1
  }
}