Pith Number

pith:GQQN3OXG

pith:2014:GQQN3OXGMRPNV5TWGHPWVHAAT2

not attested not anchored not stored refs pending

Notes on dual-critical graphs

S\'andor Kisfaludi-Bak, Zolt\'an Kir\'aly

arxiv:1410.1653 v1 · 2014-10-07 · cs.DS · cs.CC · 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{GQQN3OXGMRPNV5TWGHPWVHAAT2}

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	2026-05-18T02:40:55.157873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3420ddbae6645edaf67631df6a9c009e98edb03c3cbe9dc1c141d3b9423eefe4

Aliases

arxiv: 1410.1653 · arxiv_version: 1410.1653v1 · doi: 10.48550/arxiv.1410.1653 · pith_short_12: GQQN3OXGMRPN · pith_short_16: GQQN3OXGMRPNV5TW · pith_short_8: GQQN3OXG

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/GQQN3OXGMRPNV5TWGHPWVHAAT2 \
  | 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: 3420ddbae6645edaf67631df6a9c009e98edb03c3cbe9dc1c141d3b9423eefe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe7005e1ad55e857143731d305489677d55682d683a3cd87bdd94f4c21e74f3",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-10-07T09:44:06Z",
    "title_canon_sha256": "510b6a441367fb3e6cf1382caabf56fbadc8b7faddead911e21cedaa774c04a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1653",
    "kind": "arxiv",
    "version": 1
  }
}