Pith Number

pith:5PM4LWXU

pith:2026:5PM4LWXUQTP4PQI27CPD4OIKFZ

not attested not anchored not stored refs pending

Spectral Bernstein theorems for submanifolds in Euclidean spaces

Hezi Lin, Wei Zhang, Yuxin Dong

arxiv:2605.21370 v1 · 2026-05-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PM4LWXUQTP4PQI27CPD4OIKFZ}

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	2026-05-21T02:05:31.398489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd9c5daf484dfc7c11af89e3e390a2e4c43c471424c14ebf82baa45d1717285

Aliases

arxiv: 2605.21370 · arxiv_version: 2605.21370v1 · doi: 10.48550/arxiv.2605.21370 · pith_short_12: 5PM4LWXUQTP4 · pith_short_16: 5PM4LWXUQTP4PQI2 · pith_short_8: 5PM4LWXU

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/5PM4LWXUQTP4PQI27CPD4OIKFZ \
  | 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: ebd9c5daf484dfc7c11af89e3e390a2e4c43c471424c14ebf82baa45d1717285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "216668867ddfa8e18d34a8bc9808fbdfb7e82275245940271585948013560200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-20T16:35:38Z",
    "title_canon_sha256": "ac9cc56eb5fd8c18822f932b71bf012034e94c84068d5d0735f0191c5c6cabca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21370",
    "kind": "arxiv",
    "version": 1
  }
}