Pith Number

pith:JIMBRESS

pith:2011:JIMBRESS2OMQWWZVZ2QEZVBZR5

not attested not anchored not stored refs pending

Step-s involutive families of vector fields, their orbits and the Poincar\'e inequality

Annamaria Montanari, Daniele Morbidelli

arxiv:1106.2410 v3 · 2011-06-13 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIMBRESS2OMQWWZVZ2QEZVBZR5}

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	2026-05-18T03:33:14.393169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a18189252d3990b5b35cea04cd4398f68a00c5d534a280fc9a2e539830ad9d7

Aliases

arxiv: 1106.2410 · arxiv_version: 1106.2410v3 · doi: 10.48550/arxiv.1106.2410 · pith_short_12: JIMBRESS2OMQ · pith_short_16: JIMBRESS2OMQWWZV · pith_short_8: JIMBRESS

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/JIMBRESS2OMQWWZVZ2QEZVBZR5 \
  | 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: 4a18189252d3990b5b35cea04cd4398f68a00c5d534a280fc9a2e539830ad9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe438704f5f2b3a9942be35c86ee3916b640058b830bca7be6ca1a9d897e20ec",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-13T10:30:16Z",
    "title_canon_sha256": "5608c2a91eaeb35e25ef6db86999d2284c7e4e065c5f0734c3fcd162ba2176a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2410",
    "kind": "arxiv",
    "version": 3
  }
}