Pith Number

pith:CAPPVLUZ

pith:2015:CAPPVLUZFIBDE6DO6F353QWPOT

not attested not anchored not stored refs pending

Approximation with Random Bases: Pro et Contra

Alexander N. Gorban, Danil V. Prokhorov, Ivan Yu. Tyukin, Konstantin I. Sofeikov

arxiv:1506.04631 v5 · 2015-06-15 · cs.NA · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAPPVLUZFIBDE6DO6F353QWPOT}

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	2026-05-18T01:06:41.064345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101efaae992a0232786ef177ddc2cf74e6b08dcac7418f1bd9aa854b7622d8f1

Aliases

arxiv: 1506.04631 · arxiv_version: 1506.04631v5 · doi: 10.48550/arxiv.1506.04631 · pith_short_12: CAPPVLUZFIBD · pith_short_16: CAPPVLUZFIBDE6DO · pith_short_8: CAPPVLUZ

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/CAPPVLUZFIBDE6DO6F353QWPOT \
  | 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: 101efaae992a0232786ef177ddc2cf74e6b08dcac7418f1bd9aa854b7622d8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d4e081e5112e15980d0e123786201007d5edf7313ac8d6a0bee345002e5dd3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-06-15T15:22:06Z",
    "title_canon_sha256": "f4416b028ad211c6b8d9feb7abef62f1fbddd07b8c78f070f71d78f48d9ab905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04631",
    "kind": "arxiv",
    "version": 5
  }
}