Pith Number

pith:YGY6QEOX

pith:2019:YGY6QEOXPAVME2VPOO6RBJ5KVX

not attested not anchored not stored refs pending

Prescribing tangent hyperplanes to $C^{1,1}$ and $C^{1,\omega}$ convex hypersurfaces in Hilbert and superreflexive Banach spaces

Carlos Mudarra, Daniel Azagra

arxiv:1904.03641 v1 · 2019-04-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGY6QEOXPAVME2VPOO6RBJ5KVX}

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	2026-05-17T23:49:12.673289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b1e811d7782ac26aaf73bd10a7aaadfc3ad0d24345d36fbc49e8362879a649

Aliases

arxiv: 1904.03641 · arxiv_version: 1904.03641v1 · doi: 10.48550/arxiv.1904.03641 · pith_short_12: YGY6QEOXPAVM · pith_short_16: YGY6QEOXPAVME2VP · pith_short_8: YGY6QEOX

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/YGY6QEOXPAVME2VPOO6RBJ5KVX \
  | 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: c1b1e811d7782ac26aaf73bd10a7aaadfc3ad0d24345d36fbc49e8362879a649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628ca8fe0e12071cecd5a0c24262517179fcd37ecac32c91fb47f03fd2cb4bd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-07T12:48:21Z",
    "title_canon_sha256": "8ab60411368dda31d39ec56451ef25a626c73dbab57673cc9ad9020c9ee1e126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03641",
    "kind": "arxiv",
    "version": 1
  }
}