Pith Number

pith:GSVIP3GC

pith:2015:GSVIP3GC5RNHLMCLVR2B7O54R3

not attested not anchored not stored refs pending

L'in\'egalit\'e de Melin H\"ormander en caract\'eristiques multiples

Bernard Lascar, Richard Lascar

arxiv:1509.00138 v1 · 2015-09-01 · 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{GSVIP3GC5RNHLMCLVR2B7O54R3}

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	2026-05-18T01:34:30.520580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34aa87ecc2ec5a75b04bac741fbbbc8ece6faddc3b27e2f759d06c9be0f66e7b

Aliases

arxiv: 1509.00138 · arxiv_version: 1509.00138v1 · doi: 10.48550/arxiv.1509.00138 · pith_short_12: GSVIP3GC5RNH · pith_short_16: GSVIP3GC5RNHLMCL · pith_short_8: GSVIP3GC

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/GSVIP3GC5RNHLMCLVR2B7O54R3 \
  | 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: 34aa87ecc2ec5a75b04bac741fbbbc8ece6faddc3b27e2f759d06c9be0f66e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f178e15490e5073a81e0457e37f1b112834ae2aa9a8299ba618e7bed723c94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-01T04:44:29Z",
    "title_canon_sha256": "abba9e2c687e8bc6f1b150a269fce3d1ab194cf1fcfa6316e1dea62eee755cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00138",
    "kind": "arxiv",
    "version": 1
  }
}