Pith Number

pith:SHYZLZ5M

pith:2014:SHYZLZ5MM5UTLVJYX5BOAYT77U

not attested not anchored not stored refs pending

Joint Centrality Distinguishes Optimal Leaders in Noisy Networks

Katherine E. Fitch, Naomi Ehrich Leonard

arxiv:1407.1569 v2 · 2014-07-07 · math.OC · 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{SHYZLZ5MM5UTLVJYX5BOAYT77U}

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	2026-05-18T01:49:31.488236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f195e7ac676935d538bf42e0627ffd311fbc07aab76c6745231f91bc0596dd

Aliases

arxiv: 1407.1569 · arxiv_version: 1407.1569v2 · doi: 10.48550/arxiv.1407.1569 · pith_short_12: SHYZLZ5MM5UT · pith_short_16: SHYZLZ5MM5UTLVJY · pith_short_8: SHYZLZ5M

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/SHYZLZ5MM5UTLVJYX5BOAYT77U \
  | 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: 91f195e7ac676935d538bf42e0627ffd311fbc07aab76c6745231f91bc0596dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd49ee78774c53a2a10830290edad2c939aa40ebc652deba5782fb25cd5739cf",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-07-07T02:24:53Z",
    "title_canon_sha256": "82233721027e15cd9a4f9e516f7e7053765a8acae7729316f0cf50eac6b4370a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1569",
    "kind": "arxiv",
    "version": 2
  }
}