Pith Number

pith:VUJMJY6U

pith:2019:VUJMJY6UQ2PEBTDFGVRAW2Q2V5

not attested not anchored not stored refs pending

Decouplings for Real Analytic Surfaces of Revolution

Ciprian Demeter, Dominique Kemp, Jean Bourgain

arxiv:1908.07053 v2 · 2019-08-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUJMJY6UQ2PEBTDFGVRAW2Q2V5}

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	2026-07-05T00:30:21.465918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad12c4e3d4869e40cc6535620b6a1aaf465c6967961eddf6064b8cf6f24f5138

Aliases

arxiv: 1908.07053 · arxiv_version: 1908.07053v2 · doi: 10.48550/arxiv.1908.07053 · pith_short_12: VUJMJY6UQ2PE · pith_short_16: VUJMJY6UQ2PEBTDF · pith_short_8: VUJMJY6U

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/VUJMJY6UQ2PEBTDFGVRAW2Q2V5 \
  | 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: ad12c4e3d4869e40cc6535620b6a1aaf465c6967961eddf6064b8cf6f24f5138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0b776604e608fc8153d236159bd1f5ddd89e3b7076d929c6fb44808bc36b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-19T20:04:15Z",
    "title_canon_sha256": "f6687c563c509eb11122f59a6a45c87561e902bef63d011fab2feff668f20b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07053",
    "kind": "arxiv",
    "version": 2
  }
}