Pith Number

pith:5AQCSUIE

pith:2017:5AQCSUIE3M2IZJIZFNRPXVISLL

not attested not anchored not stored refs pending

Regularity results for the minimum time function with H\"ormander vector fields

Paolo Albano, Piermarco Cannarsa, Teresa Scarinci

arxiv:1702.07618 v2 · 2017-02-24 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AQCSUIE3M2IZJIZFNRPXVISLL}

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	2026-05-18T00:43:35.192825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e820295104db348ca5192b62fbd5125af1d465fd5282855a39d3c33d1590e0c9

Aliases

arxiv: 1702.07618 · arxiv_version: 1702.07618v2 · doi: 10.48550/arxiv.1702.07618 · pith_short_12: 5AQCSUIE3M2I · pith_short_16: 5AQCSUIE3M2IZJIZ · pith_short_8: 5AQCSUIE

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/5AQCSUIE3M2IZJIZFNRPXVISLL \
  | 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: e820295104db348ca5192b62fbd5125af1d465fd5282855a39d3c33d1590e0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1dee90b33eb5d9f4fb94205ea704e2ba9de2d7474a21be8b5b5dd1a67fd2aef",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-24T15:00:27Z",
    "title_canon_sha256": "8f90e29285f1fe5f181cca145c4ae3aa57b90dff747781e80bf48fcd1c19ac61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07618",
    "kind": "arxiv",
    "version": 2
  }
}