Pith Number

pith:YC6P3OCU

pith:2014:YC6P3OCU6UCW4R5XZGHQBRMTDQ

not attested not anchored not stored refs pending

Probabilistic estimates for tensor products of random vectors

David Alonso-Gutierrez, Joscha Prochno, Markus Passenbrunner

arxiv:1404.5423 v2 · 2014-04-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC6P3OCU6UCW4R5XZGHQBRMTDQ}

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	2026-05-18T01:55:33.929579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bcfdb854f5056e47b7c98f00c5931c378b8fbd2da027f47b16ba655e151cdc

Aliases

arxiv: 1404.5423 · arxiv_version: 1404.5423v2 · doi: 10.48550/arxiv.1404.5423 · pith_short_12: YC6P3OCU6UCW · pith_short_16: YC6P3OCU6UCW4R5X · pith_short_8: YC6P3OCU

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/YC6P3OCU6UCW4R5XZGHQBRMTDQ \
  | 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: c0bcfdb854f5056e47b7c98f00c5931c378b8fbd2da027f47b16ba655e151cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f3a26d801cc58777674ceff3e19d0a89b22e1b1298fb5450e920be3ce4969e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-22T08:46:57Z",
    "title_canon_sha256": "63727f2e26c83ba9e61707800a4d97fd95572f89f5c9bb417ff68ee199bf75ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5423",
    "kind": "arxiv",
    "version": 2
  }
}