Pith Number

pith:QGTGLJMC

pith:2025:QGTGLJMC7JHE7UGVEP3LEKFP6F

not attested not anchored not stored refs pending

Symmetric Distributions from Shallow Circuits

Anthony Ostuni, Daniel M. Kane, Kewen Wu

arxiv:2511.14127 v2 · 2025-11-18 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGTGLJMC7JHE7UGVEP3LEKFP6F}

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.

Cited by

1 paper in Pith

On Sampling Lower Bounds for Polynomials

Receipt and verification

First computed	2026-07-27T00:19:45.102146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a665a582fa4e4fd0d523f6b228aff15f38a9a9b6aa38210b61f5ee94dd90d8

Aliases

arxiv: 2511.14127 · arxiv_version: 2511.14127v2 · doi: 10.48550/arxiv.2511.14127 · pith_short_12: QGTGLJMC7JHE · pith_short_16: QGTGLJMC7JHE7UGV · pith_short_8: QGTGLJMC

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/QGTGLJMC7JHE7UGVEP3LEKFP6F \
  | 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: 81a665a582fa4e4fd0d523f6b228aff15f38a9a9b6aa38210b61f5ee94dd90d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44528b06dc61f65652fae1fa4d04aeb2567c5e6ee3fb2480e30d477d945d783",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-11-18T04:23:42Z",
    "title_canon_sha256": "ac24182184dafbad63984eae1933acd5b242873565f42361a50cf0c7dca56d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.14127",
    "kind": "arxiv",
    "version": 2
  }
}