Pith Number

pith:XBNAGE2Q

pith:2018:XBNAGE2QWN4Y6COD3T64TFJOJT

not attested not anchored not stored refs pending

The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

Francesco Serra Cassano, Sebastiano Nicolussi

arxiv:1809.04586 v1 · 2018-09-12 · 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{XBNAGE2QWN4Y6COD3T64TFJOJT}

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	2026-05-18T00:05:51.830968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85a031350b3798f09c3dcfdc9952e4cef3c29d46f34856c48f9cefc608900e6

Aliases

arxiv: 1809.04586 · arxiv_version: 1809.04586v1 · doi: 10.48550/arxiv.1809.04586 · pith_short_12: XBNAGE2QWN4Y · pith_short_16: XBNAGE2QWN4Y6COD · pith_short_8: XBNAGE2Q

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/XBNAGE2QWN4Y6COD3T64TFJOJT \
  | 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: b85a031350b3798f09c3dcfdc9952e4cef3c29d46f34856c48f9cefc608900e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2dd405b01c9e563e09f4180179575a85f3eec7e1a3db87c7081db2ed74033a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-12T17:50:26Z",
    "title_canon_sha256": "889a465b5b7b8181564f9f0a4d58e2e4fb2da7c3e1f154ccc1a704bf006312a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04586",
    "kind": "arxiv",
    "version": 1
  }
}