Pith. sign in
Pith Number

pith:F6OK7UX3

pith:2026:F6OK7UX3QX3EAZJYNZZ6UNG33D
not attested not anchored not stored refs pending

Collimated Sunlight and Air Temperature

Olivier Pironneau

arxiv:2608.03781 v1 · 2026-08-04 · math.NA · cs.NA · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F6OK7UX3QX3EAZJYNZZ6UNG33D}

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 2026-08-05T01:37:05.633926Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f9cafd2fb85f64065386e73ea34dbd8f081735f4f0aa31972310a8af71e08d1

Aliases

arxiv: 2608.03781 · arxiv_version: 2608.03781v1 · doi: 10.48550/arxiv.2608.03781 · pith_short_12: F6OK7UX3QX3E · pith_short_16: F6OK7UX3QX3EAZJY · pith_short_8: F6OK7UX3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F6OK7UX3QX3EAZJYNZZ6UNG33D \
  | 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: 2f9cafd2fb85f64065386e73ea34dbd8f081735f4f0aa31972310a8af71e08d1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f144317f7ae67bd0cfb24a3566085e4a88e1039571442cafef2e820e26219825",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-04T15:02:25Z",
    "title_canon_sha256": "0938e9f1e9e57cc8719831bc53d1d3593241e419fceb10f761f8c428a0b75c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03781",
    "kind": "arxiv",
    "version": 1
  }
}