Pith Number

pith:YOXRQI5E

pith:2019:YOXRQI5EH2Z6ZWX2FATWNK2WIH

not attested not anchored not stored refs pending

$C^{1,\alpha}$-estimates for the near field refractor

Cristian E. Gutierrez, Federico Tournier

arxiv:1904.02475 v1 · 2019-04-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOXRQI5EH2Z6ZWX2FATWNK2WIH}

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	2026-05-17T23:49:23.540482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3af1823a43eb3ecdafa282766ab5641cb1632945bd222a5a3774bd6d1e78e62

Aliases

arxiv: 1904.02475 · arxiv_version: 1904.02475v1 · doi: 10.48550/arxiv.1904.02475 · pith_short_12: YOXRQI5EH2Z6 · pith_short_16: YOXRQI5EH2Z6ZWX2 · pith_short_8: YOXRQI5E

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/YOXRQI5EH2Z6ZWX2FATWNK2WIH \
  | 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: c3af1823a43eb3ecdafa282766ab5641cb1632945bd222a5a3774bd6d1e78e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5657c7322fadc365321692384c57f8d4f3270b4eeef30b4083dce36cbf1bf17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-04T10:55:57Z",
    "title_canon_sha256": "f7ede5953fdb7e23105a08917ccda761d1e8507430c58c903f65223f8fb28cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02475",
    "kind": "arxiv",
    "version": 1
  }
}