Pith Number

pith:X4QDFNEN

pith:2017:X4QDFNENS2I773GRAGTUNW2MDW

not attested not anchored not stored refs pending

On the maximum diameter of path-pairable graphs

Antonio Girao, Gabor Meszaros, Kamil Popielarz, Richard Snyder

arxiv:1707.04247 v1 · 2017-07-13 · 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{X4QDFNENS2I773GRAGTUNW2MDW}

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	2026-05-18T00:40:20.118294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2032b48d9691ffecd101a746db4c1d992c0b7005e99b1b0a8923d032ed3521

Aliases

arxiv: 1707.04247 · arxiv_version: 1707.04247v1 · doi: 10.48550/arxiv.1707.04247 · pith_short_12: X4QDFNENS2I7 · pith_short_16: X4QDFNENS2I773GR · pith_short_8: X4QDFNEN

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/X4QDFNENS2I773GRAGTUNW2MDW \
  | 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: bf2032b48d9691ffecd101a746db4c1d992c0b7005e99b1b0a8923d032ed3521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f2ef7048b5f9ac51e2387cf3954461aeb106a9cc95f0d1e9503a529be090d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-13T17:55:03Z",
    "title_canon_sha256": "1546733c81a9d60e1eb39b4739a4a70f1f3498747de64e8c856d13a1d1663321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04247",
    "kind": "arxiv",
    "version": 1
  }
}