Pith Number

pith:FWJW35NC

pith:2008:FWJW35NCNZH2YQKP3YME7SYV73

not attested not anchored not stored refs pending

Sum of squares of degrees in a graph

Bernardo M. \'Abrego, Michael G. Neubauer, Silvia Fern\'andez-Merchant, William Watkins

arxiv:0808.2234 v2 · 2008-08-16 · 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{FWJW35NCNZH2YQKP3YME7SYV73}

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	2026-05-18T04:27:57.390983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d936df5a26e4fac414fde184fcb15feee62a5a73c1c7e9fb98e3b7db0ee08a2

Aliases

arxiv: 0808.2234 · arxiv_version: 0808.2234v2 · doi: 10.48550/arxiv.0808.2234 · pith_short_12: FWJW35NCNZH2 · pith_short_16: FWJW35NCNZH2YQKP · pith_short_8: FWJW35NC

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/FWJW35NCNZH2YQKP3YME7SYV73 \
  | 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: 2d936df5a26e4fac414fde184fcb15feee62a5a73c1c7e9fb98e3b7db0ee08a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064cf18fc4fc01685f91911b3c6623e8c282f0599d0cae187d3cfb0b35e8df9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-16T03:27:11Z",
    "title_canon_sha256": "f01cb26ee97cfb7356843fe5dbd41589c7448a26bf7e8e206abdcb93411e738f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2234",
    "kind": "arxiv",
    "version": 2
  }
}