Pith Number

pith:FUKCPENC

pith:2019:FUKCPENCWPUZFVXMICPPPFERIX

not attested not anchored not stored refs pending

Degree lists and connectedness are $3$-reconstructible for graphs with at least seven vertices

Alexandr V. Kostochka, Dara Zirlin, Douglas B. West, Mina Nahvi

arxiv:1904.11901 v1 · 2019-04-26 · 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{FUKCPENCWPUZFVXMICPPPFERIX}

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	2026-05-17T23:47:40.671013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d142791a2b3e992d6ec409ef7949145c5fd4b1b683a003c86576a8d745db0dd

Aliases

arxiv: 1904.11901 · arxiv_version: 1904.11901v1 · doi: 10.48550/arxiv.1904.11901 · pith_short_12: FUKCPENCWPUZ · pith_short_16: FUKCPENCWPUZFVXM · pith_short_8: FUKCPENC

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/FUKCPENCWPUZFVXMICPPPFERIX \
  | 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: 2d142791a2b3e992d6ec409ef7949145c5fd4b1b683a003c86576a8d745db0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f604cadb75f74aec6c0aab0afcea1cfd76db5fa1bcff0d24970cac77113cb690",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-26T15:39:54Z",
    "title_canon_sha256": "4e6bfcff0a1184de7d2b1dbed8d2864bd4c2cb9b4e171bff4cb1a564ad629d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11901",
    "kind": "arxiv",
    "version": 1
  }
}