Pith Number

pith:5MTJUINU

pith:2017:5MTJUINUPQCTOQNH7EZ5LCMDZ5

not attested not anchored not stored refs pending

r-Robustness and (r,s)-Robustness of Circulant Graphs

Dimitra Panagou, James Usevitch

arxiv:1710.01990 v1 · 2017-10-03 · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MTJUINUPQCTOQNH7EZ5LCMDZ5}

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	2026-05-18T00:33:37.864568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb269a21b47c053741a7f933d58983cf4f262b710496e62d7acbb717946cd24c

Aliases

arxiv: 1710.01990 · arxiv_version: 1710.01990v1 · doi: 10.48550/arxiv.1710.01990 · pith_short_12: 5MTJUINUPQCT · pith_short_16: 5MTJUINUPQCTOQNH · pith_short_8: 5MTJUINU

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/5MTJUINUPQCTOQNH7EZ5LCMDZ5 \
  | 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: eb269a21b47c053741a7f933d58983cf4f262b710496e62d7acbb717946cd24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cea17e5c6f670eef1fff7089cf88193e00b88ae3a232b76d9419dbc30086b64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-10-03T19:10:30Z",
    "title_canon_sha256": "facb5f4d7e76ff9a1f22c862e0ccf4ec6bf68f81dd3e0e0364208009209ad6e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01990",
    "kind": "arxiv",
    "version": 1
  }
}