Pith Number

pith:LITX4JY5

pith:2013:LITX4JY5FKXBYAURAMCQHJFIUO

not attested not anchored not stored refs pending

Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type

Emil J. Straube, Yunus E. Zeytuncu

arxiv:1311.4208 v4 · 2013-11-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LITX4JY5FKXBYAURAMCQHJFIUO}

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	2026-05-18T02:38:16.957657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a277e271d2aae1c0291030503a4a8a3a4730d673c5f1186bbb9e9ebcb9268b7

Aliases

arxiv: 1311.4208 · arxiv_version: 1311.4208v4 · doi: 10.48550/arxiv.1311.4208 · pith_short_12: LITX4JY5FKXB · pith_short_16: LITX4JY5FKXBYAUR · pith_short_8: LITX4JY5

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/LITX4JY5FKXBYAURAMCQHJFIUO \
  | 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: 5a277e271d2aae1c0291030503a4a8a3a4730d673c5f1186bbb9e9ebcb9268b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702f4ad4cdb6b943f1c50939e65b95f883434111aac5e8193553afaf519021c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-17T19:52:58Z",
    "title_canon_sha256": "76d8d1782af56d66c8e1d66b92247ab0a567e52358394bbbc3c5ab7bf1981018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4208",
    "kind": "arxiv",
    "version": 4
  }
}