Pith Number

pith:5A3KMYST

pith:2016:5A3KMYSTOSB2ALXPTVMYI6PG4H

not attested not anchored not stored refs pending

Connectivity Oracles for Graphs Subject to Vertex Failures

Ran Duan, Seth Pettie

arxiv:1607.06865 v3 · 2016-07-23 · cs.DS · cs.DM · 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{5A3KMYSTOSB2ALXPTVMYI6PG4H}

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	2026-05-18T00:35:51.773590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e836a662537483a02eef9d598479e6e1ca0b8a899faf8f33b3157faa129594c0

Aliases

arxiv: 1607.06865 · arxiv_version: 1607.06865v3 · doi: 10.48550/arxiv.1607.06865 · pith_short_12: 5A3KMYSTOSB2 · pith_short_16: 5A3KMYSTOSB2ALXP · pith_short_8: 5A3KMYST

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/5A3KMYSTOSB2ALXPTVMYI6PG4H \
  | 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: e836a662537483a02eef9d598479e6e1ca0b8a899faf8f33b3157faa129594c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d362fbc531d3292b5e666e9b9179300c601a05352b5e4d90cd192c1f0275b51",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-23T00:19:08Z",
    "title_canon_sha256": "e426a9793ff9b187eaa436c65976ab7eee1b8c1ab279c241c8a6f90ca76650bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06865",
    "kind": "arxiv",
    "version": 3
  }
}