Pith Number

pith:FUQN7S4E

pith:2022:FUQN7S4EN2BHJ52AILPMFXPQF5

not attested not anchored not stored refs pending

Prediction of numerical homogenization using deep learning for the Richards equation

Denis Spiridonov, Sergei Stepanov, Tina Mai

arxiv:2208.12161 v1 · 2022-08-25 · math.NA · cs.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{FUQN7S4EN2BHJ52AILPMFXPQF5}

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	2026-07-05T06:11:56.692810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d20dfcb846e8274f74042dec2ddf02f512e43f97a5f8b6805a564daa9d6d16e

Aliases

arxiv: 2208.12161 · arxiv_version: 2208.12161v1 · doi: 10.48550/arxiv.2208.12161 · pith_short_12: FUQN7S4EN2BH · pith_short_16: FUQN7S4EN2BHJ52A · pith_short_8: FUQN7S4E

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/FUQN7S4EN2BHJ52AILPMFXPQF5 \
  | 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: 2d20dfcb846e8274f74042dec2ddf02f512e43f97a5f8b6805a564daa9d6d16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e605ec206020d63d1226468858b31c45a7687e6cb55c5b20f40e0faa10e0434",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-08-25T15:32:45Z",
    "title_canon_sha256": "b5d82fe2b2c1830fb62d874bceeff95e453f94b2160265d1b529d5d2d2938f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.12161",
    "kind": "arxiv",
    "version": 1
  }
}