Pith Number

pith:BT3ADC3W

pith:2015:BT3ADC3W47HI5YTLAMQ2CLCMPH

not attested not anchored not stored refs pending

Polynomial Chaos Expansion of random coefficients and the solution of stochastic partial differential equations in the Tensor Train format

Alexander Litvinenko, Boris N. Khoromskij, Hermann G. Matthies, Sergey Dolgov

arxiv:1503.03210 v1 · 2015-03-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BT3ADC3W47HI5YTLAMQ2CLCMPH}

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	2026-05-18T02:25:04.089664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf6018b76e7ce8ee26b0321a12c4c79d0613bde76f6d95917ee2a5d5f4b42d4

Aliases

arxiv: 1503.03210 · arxiv_version: 1503.03210v1 · doi: 10.48550/arxiv.1503.03210 · pith_short_12: BT3ADC3W47HI · pith_short_16: BT3ADC3W47HI5YTL · pith_short_8: BT3ADC3W

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/BT3ADC3W47HI5YTLAMQ2CLCMPH \
  | 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: 0cf6018b76e7ce8ee26b0321a12c4c79d0613bde76f6d95917ee2a5d5f4b42d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43a1b6191aa8244289d51d16f7476b4aeddc5be8c8e2892715721591fb8a94d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-11T08:16:57Z",
    "title_canon_sha256": "8aa1f2c50c997d485df28a95d89c38de15861badc82906f5b83b97c14cffe184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03210",
    "kind": "arxiv",
    "version": 1
  }
}