Pith Number

pith:MS4MRBCI

pith:2014:MS4MRBCI6EZVWSBCWZZ6HMGN3S

not attested not anchored not stored refs pending

Continuity of the fundamental operations on distributions having a specified wave front set (with a counter example by Semyon Alesker)

Christian Brouder (IMPMC), Fr\'ed\'eric H\'elein (IMJ-PRG), Nguyen Viet Dang (LAMA)

arxiv:1409.7662 v2 · 2014-09-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS4MRBCI6EZVWSBCWZZ6HMGN3S}

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	2026-05-18T01:02:50.019199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b8c88448f1335b4822b673e3b0cddc88019ddff274cbd87b2f6174ca2080f4

Aliases

arxiv: 1409.7662 · arxiv_version: 1409.7662v2 · doi: 10.48550/arxiv.1409.7662 · pith_short_12: MS4MRBCI6EZV · pith_short_16: MS4MRBCI6EZVWSBC · pith_short_8: MS4MRBCI

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/MS4MRBCI6EZVWSBCWZZ6HMGN3S \
  | 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: 64b8c88448f1335b4822b673e3b0cddc88019ddff274cbd87b2f6174ca2080f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd6644226c134779c09da81073bf7a8463b0a05524e392265e3dc520072fb43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-26T18:28:26Z",
    "title_canon_sha256": "076d5d506342c180bb19064b593536257b92e1a7a5acf5db8b96970f148d3eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7662",
    "kind": "arxiv",
    "version": 2
  }
}