Pith Number

pith:5YWVSXHW

pith:2014:5YWVSXHWS5OVX4DL6BRUHBSSNO

not attested not anchored not stored refs pending

A regularity theory for random elliptic operators

Antoine Gloria, Felix Otto, Stefan Neukamm

arxiv:1409.2678 v4 · 2014-09-09 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YWVSXHWS5OVX4DL6BRUHBSSNO}

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.

Cited by

1 paper in Pith

Quantitative estimates for high-contrast random media

Receipt and verification

First computed	2026-07-05T00:10:48.425622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2d595cf6975d5bf06bf0634386526ba0b374563a513a0ccd88aa70f5e46866

Aliases

arxiv: 1409.2678 · arxiv_version: 1409.2678v4 · doi: 10.48550/arxiv.1409.2678 · pith_short_12: 5YWVSXHWS5OV · pith_short_16: 5YWVSXHWS5OVX4DL · pith_short_8: 5YWVSXHW

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/5YWVSXHWS5OVX4DL6BRUHBSSNO \
  | 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: ee2d595cf6975d5bf06bf0634386526ba0b374563a513a0ccd88aa70f5e46866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf4f7953144ed3fa9c3eb5896385d170e91f73d1449ed8f547bca05c5927a8f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-09T11:00:27Z",
    "title_canon_sha256": "9cd82a9693d399b2024013abcdde31ffde9e64f0c08bb55e70fd9ec17fc7a159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2678",
    "kind": "arxiv",
    "version": 4
  }
}