Pith Number

pith:DDYEKDK4

pith:2017:DDYEKDK4YHVPXHSBY5YVKZCGIE

not attested not anchored not stored refs pending

Strong geodetic problem in networks: computational complexity and solution for Apollonian networks

Andrew Arokiaraj, Antony Xavier, Elizabeth Thomas, Paul Manuel, Sandi Klav\v{z}ar

arxiv:1708.03868 v1 · 2017-08-13 · 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{DDYEKDK4YHVPXHSBY5YVKZCGIE}

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	2026-05-18T00:38:07.678343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f0450d5cc1eafb9e41c7715564464105e70d4b4f2602d6fdf845faa61f22b7

Aliases

arxiv: 1708.03868 · arxiv_version: 1708.03868v1 · doi: 10.48550/arxiv.1708.03868 · pith_short_12: DDYEKDK4YHVP · pith_short_16: DDYEKDK4YHVPXHSB · pith_short_8: DDYEKDK4

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/DDYEKDK4YHVPXHSBY5YVKZCGIE \
  | 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: 18f0450d5cc1eafb9e41c7715564464105e70d4b4f2602d6fdf845faa61f22b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e90a59e6e0fdfa09c95348b4ac5c9b673b084d849dec0798979b6cbb3938056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-13T07:34:08Z",
    "title_canon_sha256": "607b22e17f5d90c8c75524c5c4fdb85c9594ece6bbb245e620de503c0276defd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03868",
    "kind": "arxiv",
    "version": 1
  }
}