Pith Number

pith:OB2STWKP

pith:2012:OB2STWKPXN7IHSUIUZOXIX6XMX

not attested not anchored not stored refs pending

Regularity of sets with constant horizontal normal in the Engel group

Costante Bellettini, Enrico Le Donne

arxiv:1201.6399 v1 · 2012-01-30 · math.AP · math.DG · math.GR · 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{OB2STWKPXN7IHSUIUZOXIX6XMX}

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	2026-05-18T04:03:31.635958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707529d94fbb7e83ca88a65d745fd765cd63abda31418cd6d2a88c1023451c82

Aliases

arxiv: 1201.6399 · arxiv_version: 1201.6399v1 · doi: 10.48550/arxiv.1201.6399 · pith_short_12: OB2STWKPXN7I · pith_short_16: OB2STWKPXN7IHSUI · pith_short_8: OB2STWKP

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/OB2STWKPXN7IHSUIUZOXIX6XMX \
  | 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: 707529d94fbb7e83ca88a65d745fd765cd63abda31418cd6d2a88c1023451c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4728bbed07bedae606277db5a7e2bfb00548dcc704a63b8628d4be4953faf6",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-30T22:49:52Z",
    "title_canon_sha256": "d4f9826d9c158d46dba0d74bb10e76b7c8f0fe8508ae021300ea700c1b9cf87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6399",
    "kind": "arxiv",
    "version": 1
  }
}