Pith Number

pith:G2KBSQA3

pith:2021:G2KBSQA3UWVXY6FFMUWXLF6OAD

not attested not anchored not stored refs pending

Matrix Concentration Inequalities and Free Probability

Afonso S. Bandeira, March T. Boedihardjo, Ramon van Handel

arxiv:2108.06312 v2 · 2021-08-13 · math.PR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2KBSQA3UWVXY6FFMUWXLF6OAD}

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

3 papers in Pith

Quantum Communication Lower Bounds for Search Problems via Matrix Discrepancy

Matrix Discrepancy for Representations of Finite Groups

Receipt and verification

First computed	2026-07-05T06:50:50.734820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369419401ba5ab7c78a5652d7597ce00dbd56d4bf941fe4931ae2c377a5edc08

Aliases

arxiv: 2108.06312 · arxiv_version: 2108.06312v2 · doi: 10.48550/arxiv.2108.06312 · pith_short_12: G2KBSQA3UWVX · pith_short_16: G2KBSQA3UWVXY6FF · pith_short_8: G2KBSQA3

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/G2KBSQA3UWVXY6FFMUWXLF6OAD \
  | 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: 369419401ba5ab7c78a5652d7597ce00dbd56d4bf941fe4931ae2c377a5edc08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a6ae6a94e238f4def132555282f1226b36868a905f80ceefba37be0d83d379",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-08-13T16:38:45Z",
    "title_canon_sha256": "f7d110384f8dca52c22eb9702bd68d9f11b6ee41cca3b3c105f69156ceae6891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06312",
    "kind": "arxiv",
    "version": 2
  }
}