Pith Number

pith:EFUADHI4

pith:2015:EFUADHI4LNJDOBHGX46BRNQMCV

not attested not anchored not stored refs pending

On the Number of Non-zero Elements of Joint Degree Vectors

Eva Czabarka, Johannes Rauh, Kayvan Sadeghi, Laszlo A Szekely, Taylor Short

arxiv:1511.01035 v4 · 2015-11-03 · 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{EFUADHI4LNJDOBHGX46BRNQMCV}

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	2026-05-18T00:50:12.557658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2168019d1c5b523704e6bf3c18b60c1554fd1c15b7dc0a19f8f63ea8ce0cef26

Aliases

arxiv: 1511.01035 · arxiv_version: 1511.01035v4 · doi: 10.48550/arxiv.1511.01035 · pith_short_12: EFUADHI4LNJD · pith_short_16: EFUADHI4LNJDOBHG · pith_short_8: EFUADHI4

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/EFUADHI4LNJDOBHGX46BRNQMCV \
  | 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: 2168019d1c5b523704e6bf3c18b60c1554fd1c15b7dc0a19f8f63ea8ce0cef26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd2d18496b560c6edd0d78846df07a28d97f35eb7f2203ef72469e6bd955e97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-03T19:08:51Z",
    "title_canon_sha256": "a9fbdcefa912447ec3aac9391ce26fb02b8b45e3a5f7935d006fab7b5daa42e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01035",
    "kind": "arxiv",
    "version": 4
  }
}