Pith Number

pith:VVCC6GZT

pith:2011:VVCC6GZTF6IVEDLZZ2GLXT6ONI

not attested not anchored not stored refs pending

Reverse degree distance of unicyclic graphs

Bo Zhou, Zhibin Du

arxiv:1107.2171 v1 · 2011-07-12 · 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{VVCC6GZTF6IVEDLZZ2GLXT6ONI}

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	2026-05-18T04:18:25.111223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad442f1b332f91520d79ce8cbbcfce6a1fa1c632574ec72c30a425c17431133a

Aliases

arxiv: 1107.2171 · arxiv_version: 1107.2171v1 · doi: 10.48550/arxiv.1107.2171 · pith_short_12: VVCC6GZTF6IV · pith_short_16: VVCC6GZTF6IVEDLZ · pith_short_8: VVCC6GZT

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/VVCC6GZTF6IVEDLZZ2GLXT6ONI \
  | 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: ad442f1b332f91520d79ce8cbbcfce6a1fa1c632574ec72c30a425c17431133a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fecc175103024bf15ca2d9ae51267c8f023bc92b7da7fa3fc63bf1660e9c4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-12T00:24:34Z",
    "title_canon_sha256": "8498295e92288829daea2ede9132484a31b8f86c864f2651ab1f308b94f6d5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2171",
    "kind": "arxiv",
    "version": 1
  }
}