Pith Number

pith:5TULDDES

pith:2018:5TULDDESZKVRATNTCM2N2O34QX

not attested not anchored not stored refs pending

On the regularity of the $\omega$-minima of $\varphi$-functionals

Cristiana De Filippis

arxiv:1810.06050 v2 · 2018-10-14 · 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{5TULDDESZKVRATNTCM2N2O34QX}

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	2026-05-17T23:54:22.336039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece8b18c92caab104db31334dd3b7c85d41e78eb309d973b5f1c27c1f6e85d9c

Aliases

arxiv: 1810.06050 · arxiv_version: 1810.06050v2 · doi: 10.48550/arxiv.1810.06050 · pith_short_12: 5TULDDESZKVR · pith_short_16: 5TULDDESZKVRATNT · pith_short_8: 5TULDDES

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/5TULDDESZKVRATNTCM2N2O34QX \
  | 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: ece8b18c92caab104db31334dd3b7c85d41e78eb309d973b5f1c27c1f6e85d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06814aa7405a85c59374a87d98efb9df6d55943e62a31e397a5fb97e82cb06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-14T16:08:58Z",
    "title_canon_sha256": "310b1a37f793ee6729309d9ec76b965f9bb12e8f70de786d51a3541ac215090e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06050",
    "kind": "arxiv",
    "version": 2
  }
}