Pith Number

pith:BK27E3CI

pith:2026:BK27E3CIYNKHTNBGIFM4MHROZM

not attested not anchored not stored refs pending

Operator learning for models of tear film breakup

Arnab Roy, Qinying Chen, Tobin A. Driscoll

arxiv:2601.08001 v2 · 2026-01-12 · math.NA · cs.CV · cs.LG · 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{BK27E3CIYNKHTNBGIFM4MHROZM}

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	2026-07-28T02:23:23.578492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab5f26c48c35479b4264159c61e2ecb283ee070c7d9cb30acdda5da8635ee8f

Aliases

arxiv: 2601.08001 · arxiv_version: 2601.08001v2 · doi: 10.48550/arxiv.2601.08001 · pith_short_12: BK27E3CIYNKH · pith_short_16: BK27E3CIYNKHTNBG · pith_short_8: BK27E3CI

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/BK27E3CIYNKHTNBGIFM4MHROZM \
  | 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: 0ab5f26c48c35479b4264159c61e2ecb283ee070c7d9cb30acdda5da8635ee8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4120e33c8974f77ba156f535e32adc427533e915ccdc7450971ffe3ed5309f0a",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-01-12T21:09:04Z",
    "title_canon_sha256": "c45879409e04086e6108a6b8d441a4b23d07ac6e549eb6a3545886e33a0b5909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.08001",
    "kind": "arxiv",
    "version": 2
  }
}