Pith Number

pith:MZQYFBVO

pith:2014:MZQYFBVO6N56CMSBJKOHJR34GI

not attested not anchored not stored refs pending

A smooth introduction to the wavefront set

Christian Brouder, Fr\'ed\'eric H\'elein, Nguyen Viet Dang

arxiv:1404.1778 v1 · 2014-04-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZQYFBVO6N56CMSBJKOHJR34GI}

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	2026-05-18T01:43:36.987642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66618286aef37be132414a9c74c77c322942210fd2ff563325bcacd52284ece3

Aliases

arxiv: 1404.1778 · arxiv_version: 1404.1778v1 · doi: 10.48550/arxiv.1404.1778 · pith_short_12: MZQYFBVO6N56 · pith_short_16: MZQYFBVO6N56CMSB · pith_short_8: MZQYFBVO

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/MZQYFBVO6N56CMSBJKOHJR34GI \
  | 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: 66618286aef37be132414a9c74c77c322942210fd2ff563325bcacd52284ece3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8eaac156f636031538736218579f01ce3f2f8f02808464c9499358a56bac77",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-07T13:15:25Z",
    "title_canon_sha256": "bec7f1e8d0c4d17d710d4e7213db658aca6348195af8bd4d9b2012856e6c2923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1778",
    "kind": "arxiv",
    "version": 1
  }
}