Pith Number

pith:N2XCAVWE

pith:2016:N2XCAVWEUR355EKBN6QJOREKCL

not attested not anchored not stored refs pending

Quasiconvexity in the Heisenberg group

Anton Lukyanenko, David A. Herron, Jeremy T. Tyson

arxiv:1609.07749 v2 · 2016-09-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2XCAVWEUR355EKBN6QJOREKCL}

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	2026-05-18T00:44:19.764811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eae2056c4a477de91416fa097448a12ca66d6138e33dc564cd745dae95e2938

Aliases

arxiv: 1609.07749 · arxiv_version: 1609.07749v2 · doi: 10.48550/arxiv.1609.07749 · pith_short_12: N2XCAVWEUR35 · pith_short_16: N2XCAVWEUR355EKB · pith_short_8: N2XCAVWE

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/N2XCAVWEUR355EKBN6QJOREKCL \
  | 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: 6eae2056c4a477de91416fa097448a12ca66d6138e33dc564cd745dae95e2938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38655aad2e40cebfe0030a4d43c2c8fa6a6c827135ae03d1ac6de06850f7ce07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-25T14:27:14Z",
    "title_canon_sha256": "9adb80fa346eb9a09e73f0437bcc90a2b82ae2244e0a4a27014ee0cddca5dff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07749",
    "kind": "arxiv",
    "version": 2
  }
}