Pith Number

pith:227TCAPE

pith:2026:227TCAPEKTRHCQAAGJE76BA2R6

not attested not anchored not stored refs pending

Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds

Agamirza Bashirov, Arzu Ahmadova, Ismail Huseynov

arxiv:2606.12050 v1 · 2026-06-10 · cs.LG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{227TCAPEKTRHCQAAGJE76BA2R6}

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	2026-06-11T01:10:45.082018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bf3101e454e27140003249ff041a8f9ad9fdfaf4a282db0f57eaa99c93dc5c

Aliases

arxiv: 2606.12050 · arxiv_version: 2606.12050v1 · doi: 10.48550/arxiv.2606.12050 · pith_short_12: 227TCAPEKTRH · pith_short_16: 227TCAPEKTRHCQAA · pith_short_8: 227TCAPE

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/227TCAPEKTRHCQAAGJE76BA2R6 \
  | 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: d6bf3101e454e27140003249ff041a8f9ad9fdfaf4a282db0f57eaa99c93dc5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761bfcc602d1afc369e3f7fb2ac29b3cf77ac012d120337015c5215d47c08a2b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T13:15:32Z",
    "title_canon_sha256": "6441a1086139a903f988d3bf1b37f81290ce174b58d8516faa66790591273c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12050",
    "kind": "arxiv",
    "version": 1
  }
}