Pith Number

pith:CAGJYSVQ

pith:2016:CAGJYSVQ2OX66SUIGNF6IZXTN6

not attested not anchored not stored refs pending

On the cut locus of free, step two Carnot groups

Luca Rizzi, Ulysse Serres

arxiv:1610.01596 v2 · 2016-10-05 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAGJYSVQ2OX66SUIGNF6IZXTN6}

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	2026-05-17T23:59:39.797257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100c9c4ab0d3afef4a88334be466f36f9229918655fc746d007e760579d02ef4

Aliases

arxiv: 1610.01596 · arxiv_version: 1610.01596v2 · doi: 10.48550/arxiv.1610.01596 · pith_short_12: CAGJYSVQ2OX6 · pith_short_16: CAGJYSVQ2OX66SUI · pith_short_8: CAGJYSVQ

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/CAGJYSVQ2OX66SUIGNF6IZXTN6 \
  | 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: 100c9c4ab0d3afef4a88334be466f36f9229918655fc746d007e760579d02ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0b99463b565e2ddaad5f8ab4f819e34dcde0167fa33ec3fd0120107f0a84fd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-05T20:00:01Z",
    "title_canon_sha256": "8f6849f9432d8e73e6bfa019ffac84ebf167bd4c61b7f6118e1e7ac1d4a43e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01596",
    "kind": "arxiv",
    "version": 2
  }
}