Pith Number

pith:BMDHLMAH

pith:2013:BMDHLMAHESXUROL47LFODIQNBI

not attested not anchored not stored refs pending

The traveling salesman problem in the Heisenberg group: upper bounding curvature

Raanan Schul, Sean Li

arxiv:1307.0050 v3 · 2013-06-29 · 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{BMDHLMAHESXUROL47LFODIQNBI}

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	2026-05-18T02:49:03.340763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0675b00724af48b97cfacae1a20d0a1690c071abbd6b3802a2e81af7a23e93

Aliases

arxiv: 1307.0050 · arxiv_version: 1307.0050v3 · doi: 10.48550/arxiv.1307.0050 · pith_short_12: BMDHLMAHESXU · pith_short_16: BMDHLMAHESXUROL4 · pith_short_8: BMDHLMAH

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/BMDHLMAHESXUROL47LFODIQNBI \
  | 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: 0b0675b00724af48b97cfacae1a20d0a1690c071abbd6b3802a2e81af7a23e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390eb6f117d82f986204bf39448c38418a205c49e057abd3aae7cc7cb6ff1398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-29T00:35:11Z",
    "title_canon_sha256": "f91c2007e5f83fa3c49f13d65a7486e46010192b469599d5fde25de7224c8433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0050",
    "kind": "arxiv",
    "version": 3
  }
}