Pith Number

pith:PAEKKOL3

pith:2021:PAEKKOL3RRR6HWHULIVRZT3PQ4

not attested not anchored not stored refs pending

Optimal unique continuation for periodic elliptic equations on large scales

Charles Smart, Scott Armstrong, Tuomo Kuusi

arxiv:2107.14248 v1 · 2021-07-29 · 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{PAEKKOL3RRR6HWHULIVRZT3PQ4}

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

Eigenfunctions with double exponential rate of localization

Receipt and verification

First computed	2026-07-05T03:01:58.046816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7808a5397b8c63e3d8f45a2b1ccf6f8700dccf8511e7f6470825e77cf4c3ad6b

Aliases

arxiv: 2107.14248 · arxiv_version: 2107.14248v1 · doi: 10.48550/arxiv.2107.14248 · pith_short_12: PAEKKOL3RRR6 · pith_short_16: PAEKKOL3RRR6HWHU · pith_short_8: PAEKKOL3

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/PAEKKOL3RRR6HWHULIVRZT3PQ4 \
  | 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: 7808a5397b8c63e3d8f45a2b1ccf6f8700dccf8511e7f6470825e77cf4c3ad6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a685fc20cc2e6026764a086c463840d1d3828ec1c77f5cd3d73985279061ed0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-29T18:00:02Z",
    "title_canon_sha256": "32adf5530a2a6aafe1e4b6d74340be956e498a847a620f93061c702759d41189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14248",
    "kind": "arxiv",
    "version": 1
  }
}