Pith Number

pith:EZYQ2Z33

pith:2016:EZYQ2Z33UWKMCGZFMV4W262ZKQ

not attested not anchored not stored refs pending

Random Spanning Trees for Expanders, Sparsifiers, and Virtual Network Security

Daniel Khankin, Shlomi Dolev

arxiv:1612.02569 v2 · 2016-12-08 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZYQ2Z33UWKMCGZFMV4W262ZKQ}

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	2026-07-05T00:11:46.021522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26710d677ba594c11b2565796d7b595430f7a137e2d33924f47ee7be167371ad

Aliases

arxiv: 1612.02569 · arxiv_version: 1612.02569v2 · doi: 10.48550/arxiv.1612.02569 · pith_short_12: EZYQ2Z33UWKM · pith_short_16: EZYQ2Z33UWKMCGZF · pith_short_8: EZYQ2Z33

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/EZYQ2Z33UWKMCGZFMV4W262ZKQ \
  | 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: 26710d677ba594c11b2565796d7b595430f7a137e2d33924f47ee7be167371ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42181d81d1cdb38506bdd217d5ae8506f00264735beee729dd9679ecb3972ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-12-08T09:17:12Z",
    "title_canon_sha256": "3f8f4d418bab3f2584b787e7df2eea0d3665e5417bd986d241b248614b2b1392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02569",
    "kind": "arxiv",
    "version": 2
  }
}