Pith Number

pith:UA6MRPDG

pith:2026:UA6MRPDG6UA4QIBJCUW3AF6NOI

not attested not anchored not stored refs pending

The Generalized Friendship Paradox for Eigenvectors

Arijit Chakrabarty, Bishakh Bhattacharya, Rajat Subhra Hazra

arxiv:2607.19549 v1 · 2026-07-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA6MRPDG6UA4QIBJCUW3AF6NOI}

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	2026-07-23T00:23:56.114993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03cc8bc66f501c82029152db017cd721b2b53c1f901632627b2a2239bf2b5c1

Aliases

arxiv: 2607.19549 · arxiv_version: 2607.19549v1 · doi: 10.48550/arxiv.2607.19549 · pith_short_12: UA6MRPDG6UA4 · pith_short_16: UA6MRPDG6UA4QIBJ · pith_short_8: UA6MRPDG

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/UA6MRPDG6UA4QIBJCUW3AF6NOI \
  | 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: a03cc8bc66f501c82029152db017cd721b2b53c1f901632627b2a2239bf2b5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613b2e1657c1a8d7403b81b9cb87c5285696d37cb59fe4ad8fe3590ebbc8be65",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-21T19:51:09Z",
    "title_canon_sha256": "857b1777cd8a92e1adb13fc594141c5be46ec6449f135679146559e42f0d9c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19549",
    "kind": "arxiv",
    "version": 1
  }
}