Pith Number

pith:ZYTK6NYP

pith:2012:ZYTK6NYPHP3XCADP4ORPVHJW2M

not attested not anchored not stored refs pending

DEX: Self-healing Expanders

Amitabh Trehan, Gopal Pandurangan, Peter Robinson

arxiv:1206.1522 v4 · 2012-06-07 · cs.DC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYTK6NYPHP3XCADP4ORPVHJW2M}

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	2026-05-18T03:10:00.150058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce26af370f3bf771006fe3a2fa9d36d32be66a83baf06ea268197395a503a505

Aliases

arxiv: 1206.1522 · arxiv_version: 1206.1522v4 · doi: 10.48550/arxiv.1206.1522 · pith_short_12: ZYTK6NYPHP3X · pith_short_16: ZYTK6NYPHP3XCADP · pith_short_8: ZYTK6NYP

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/ZYTK6NYPHP3XCADP4ORPVHJW2M \
  | 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: ce26af370f3bf771006fe3a2fa9d36d32be66a83baf06ea268197395a503a505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ff4ef6b473dae57f8a071b1810ce06f1ec24b8593e3b778523720770b760a1",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2012-06-07T15:24:32Z",
    "title_canon_sha256": "036adacd33e758a49da14159f3b3cf99218df34301dd49d7e90b3139485d980d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1522",
    "kind": "arxiv",
    "version": 4
  }
}