Pith Number

pith:NNBJXIOQ

pith:2018:NNBJXIOQKOU5Z4JT422C56Q4C3

not attested not anchored not stored refs pending

Extremal graphs for vertex-degree-based invariants with given degree sequences

Kexiang Xu, Muhuo Liu, Xiao-Dong Zhang

arxiv:1809.01901 v1 · 2018-09-06 · 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{NNBJXIOQKOU5Z4JT422C56Q4C3}

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	2026-05-18T00:06:21.709818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b429ba1d053a9dcf133e6b42efa1c16fc370e9d276d892cc90761c29c5279b0

Aliases

arxiv: 1809.01901 · arxiv_version: 1809.01901v1 · doi: 10.48550/arxiv.1809.01901 · pith_short_12: NNBJXIOQKOU5 · pith_short_16: NNBJXIOQKOU5Z4JT · pith_short_8: NNBJXIOQ

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/NNBJXIOQKOU5Z4JT422C56Q4C3 \
  | 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: 6b429ba1d053a9dcf133e6b42efa1c16fc370e9d276d892cc90761c29c5279b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5443fead6a3c930d98bf3a7eb2df98234b5b0fdeb434cc423e18b0e042a185c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-06T09:31:52Z",
    "title_canon_sha256": "a94c0d9f66a15a8960ecf8875ff80795ed67f3b1affec916f53a1504dc49f6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01901",
    "kind": "arxiv",
    "version": 1
  }
}