Pith Number

pith:EHLDKXMM

pith:2016:EHLDKXMMNXUZODJQYC4XRWXWP4

not attested not anchored not stored refs pending

Optimal bilinear restriction estimates for general hypersurfaces and the role of the shape operator

Ioan Bejenaru

arxiv:1601.01000 v2 · 2016-01-05 · math.CA · 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{EHLDKXMMNXUZODJQYC4XRWXWP4}

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	2026-05-18T01:19:25.241897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21d6355d8c6de9970d30c0b978daf67f1b29dceee81fc88a6c03b5560c5dd700

Aliases

arxiv: 1601.01000 · arxiv_version: 1601.01000v2 · doi: 10.48550/arxiv.1601.01000 · pith_short_12: EHLDKXMMNXUZ · pith_short_16: EHLDKXMMNXUZODJQ · pith_short_8: EHLDKXMM

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/EHLDKXMMNXUZODJQYC4XRWXWP4 \
  | 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: 21d6355d8c6de9970d30c0b978daf67f1b29dceee81fc88a6c03b5560c5dd700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3671d5b14d16e801497f3c754978d3f612c86af5a5ad9cb944b6a113e3f6c3da",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-05T22:26:12Z",
    "title_canon_sha256": "8e4be6139acc6848881f89ec47415e1c9c05bf111446f89e2ecc50766ad974c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01000",
    "kind": "arxiv",
    "version": 2
  }
}