Pith Number

pith:WN4VRFQS

pith:2026:WN4VRFQSB4QXSDQWVJAJ56V3SO

not attested not anchored not stored refs pending

Between-User Collapse Under Popularity-Biased Feedback: A Centered-Covariance Theorem and Computable Phase Boundary

Sahil Medepalli

arxiv:2608.02548 v1 · 2026-08-03 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WN4VRFQSB4QXSDQWVJAJ56V3SO}

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	2026-08-04T02:44:05.323431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3795896120f21790e16aa409efabb93a382d7ff0db4aa9c844eb392817f2161

Aliases

arxiv: 2608.02548 · arxiv_version: 2608.02548v1 · doi: 10.48550/arxiv.2608.02548 · pith_short_12: WN4VRFQSB4QX · pith_short_16: WN4VRFQSB4QXSDQW · pith_short_8: WN4VRFQS

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/WN4VRFQSB4QXSDQWVJAJ56V3SO \
  | 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: b3795896120f21790e16aa409efabb93a382d7ff0db4aa9c844eb392817f2161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb3e980adbee53911aaf8d11fa885e76a451599913941bb7c149d3d90624064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-08-03T17:33:25Z",
    "title_canon_sha256": "75872f2fe9fc351b7901c09ed7270397c4ee5c80a0982d028ac027e29688b78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02548",
    "kind": "arxiv",
    "version": 1
  }
}