Pith Number

pith:CDTGT6VJ

pith:2019:CDTGT6VJPNJZ4ZES3B3DYIL2HF

not attested not anchored not stored refs pending

3-Regular Graphs Are 2-Reconstructible

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

arxiv:1908.01258 v1 · 2019-08-04 · 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{CDTGT6VJPNJZ4ZES3B3DYIL2HF}

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	2026-07-04T23:51:28.546873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e669faa97b539e6492d8763c217a3954c0e75f3f3015727e2ecc9399dbfaf3

Aliases

arxiv: 1908.01258 · arxiv_version: 1908.01258v1 · doi: 10.48550/arxiv.1908.01258 · pith_short_12: CDTGT6VJPNJZ · pith_short_16: CDTGT6VJPNJZ4ZES · pith_short_8: CDTGT6VJ

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/CDTGT6VJPNJZ4ZES3B3DYIL2HF \
  | 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: 10e669faa97b539e6492d8763c217a3954c0e75f3f3015727e2ecc9399dbfaf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b3618e8242701d4836f729db63eef10ac1e19d2fd148c31f3441bfc3efd9b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-04T02:09:56Z",
    "title_canon_sha256": "825b989973033ed010d2d6077d1fd4334bcbabf0977e8b37dddde427707facbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01258",
    "kind": "arxiv",
    "version": 1
  }
}