Pith Number

pith:4TURNVSB

pith:2016:4TURNVSB6KWT44RGUJRUVUVZP4

not attested not anchored not stored refs pending

A rough calculus approach to level sets in the Heisenberg group

Dario Trevisan, Eugene Stepanov, Valentino Magnani

arxiv:1610.08873 v1 · 2016-10-27 · math.DG · math.FA · 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{4TURNVSB6KWT44RGUJRUVUVZP4}

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	2026-05-18T01:01:07.030030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e916d641f2ad3e7226a2634ad2b97f1b962b9dcd0452bb89fb2c2fbdb4722a

Aliases

arxiv: 1610.08873 · arxiv_version: 1610.08873v1 · doi: 10.48550/arxiv.1610.08873 · pith_short_12: 4TURNVSB6KWT · pith_short_16: 4TURNVSB6KWT44RG · pith_short_8: 4TURNVSB

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/4TURNVSB6KWT44RGUJRUVUVZP4 \
  | 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: e4e916d641f2ad3e7226a2634ad2b97f1b962b9dcd0452bb89fb2c2fbdb4722a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700b3893f4e8f67791f365238d1028e488f471d3943a39343be0dbc9dbe7085f",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-27T16:32:51Z",
    "title_canon_sha256": "cb906946b0273db4ce88925ff4c649e1290a951d371e602389d2f1fc571bcd86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08873",
    "kind": "arxiv",
    "version": 1
  }
}