Pith Number

pith:EEYMY7ZK

pith:2016:EEYMY7ZKKG3P4NZ7YU2JQEX5S2

not attested not anchored not stored refs pending

Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

Cheng Zhang, Yakun Xi

arxiv:1603.01601 v2 · 2016-03-04 · 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{EEYMY7ZKKG3P4NZ7YU2JQEX5S2}

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	2026-05-18T00:49:52.397578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2130cc7f2a51b6fe373fc5349812fd96b9ecc96194a0c7a0084fbb451c006fc5

Aliases

arxiv: 1603.01601 · arxiv_version: 1603.01601v2 · doi: 10.48550/arxiv.1603.01601 · pith_short_12: EEYMY7ZKKG3P · pith_short_16: EEYMY7ZKKG3P4NZ7 · pith_short_8: EEYMY7ZK

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/EEYMY7ZKKG3P4NZ7YU2JQEX5S2 \
  | 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: 2130cc7f2a51b6fe373fc5349812fd96b9ecc96194a0c7a0084fbb451c006fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862b59b0ae1a1aa5ef1a4d65239e4fc4e4a87f1ca088e263724e3cf9184ba84a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-04T20:40:28Z",
    "title_canon_sha256": "5a788682a2eee659d56e23685c940327166fd345f2790a701f096d4b0b9006b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01601",
    "kind": "arxiv",
    "version": 2
  }
}