Pith Number

pith:MDBALRBC

pith:2016:MDBALRBCEZT36XKQJQ4HZDE2MO

not attested not anchored not stored refs pending

On the subRiemannian cut locus in a model of free two-step Carnot group

Annamaria Montanari, Daniele Morbidelli

arxiv:1608.06431 v3 · 2016-08-23 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDBALRBCEZT36XKQJQ4HZDE2MO}

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	2026-05-18T00:48:27.949456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c205c4222667bf5d504c387c8c9a639bdb6f16d258588158bd7e72fcd22405

Aliases

arxiv: 1608.06431 · arxiv_version: 1608.06431v3 · doi: 10.48550/arxiv.1608.06431 · pith_short_12: MDBALRBCEZT3 · pith_short_16: MDBALRBCEZT36XKQ · pith_short_8: MDBALRBC

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/MDBALRBCEZT36XKQJQ4HZDE2MO \
  | 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: 60c205c4222667bf5d504c387c8c9a639bdb6f16d258588158bd7e72fcd22405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9013ec551b6b65f8cebd84f9dd2bc4d28af3c6da78f89ba3a751cf0c31e5686",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-23T09:27:02Z",
    "title_canon_sha256": "ab92a48c69ec8026b596d4a863b6da5dc84a745b5e05b2196fcebffd69972aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06431",
    "kind": "arxiv",
    "version": 3
  }
}