Pith Number

pith:N24SCJIX

pith:2011:N24SCJIXZ6GTHWWXQJSEC2YNLW

not attested not anchored not stored refs pending

On the fractional metric dimension of graphs

Benjian Lv, Kaishun Wang, Min Feng

arxiv:1112.2106 v2 · 2011-12-09 · 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{N24SCJIXZ6GTHWWXQJSEC2YNLW}

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	2026-05-18T02:51:08.824568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb9212517cf8d33dad78264416b0d5dbccfc1012074a3e7a8033e795392c2b7

Aliases

arxiv: 1112.2106 · arxiv_version: 1112.2106v2 · doi: 10.48550/arxiv.1112.2106 · pith_short_12: N24SCJIXZ6GT · pith_short_16: N24SCJIXZ6GTHWWX · pith_short_8: N24SCJIX

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/N24SCJIXZ6GTHWWXQJSEC2YNLW \
  | 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: 6eb9212517cf8d33dad78264416b0d5dbccfc1012074a3e7a8033e795392c2b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b98f4f84cef536c4eb17bcbb12e2518021194de4a5d617dcfa29183e28a26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-09T14:08:27Z",
    "title_canon_sha256": "5ececebb2e62fd885bfbf6e5c1029a18cfb9f0abdbac7805ca4193ec80eafaa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2106",
    "kind": "arxiv",
    "version": 2
  }
}