Pith Number

pith:ZWFH3HH6

pith:2013:ZWFH3HH6Y2MK4G6B2H6FSALTIE

not attested not anchored not stored refs pending

Functional properties of H\"ormander's space of distributions having a specified wavefront set

Christian Brouder (IMPMC), Yoann Dabrowski (ICJ)

arxiv:1308.1061 v2 · 2013-08-05 · math-ph · hep-th · 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{ZWFH3HH6Y2MK4G6B2H6FSALTIE}

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	2026-05-18T02:52:41.984737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8a7d9cfec698ae1bc1d1fc59017341039bfd9ecf4d740422b9b845c9f4ca84

Aliases

arxiv: 1308.1061 · arxiv_version: 1308.1061v2 · doi: 10.48550/arxiv.1308.1061 · pith_short_12: ZWFH3HH6Y2MK · pith_short_16: ZWFH3HH6Y2MK4G6B · pith_short_8: ZWFH3HH6

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/ZWFH3HH6Y2MK4G6B2H6FSALTIE \
  | 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: cd8a7d9cfec698ae1bc1d1fc59017341039bfd9ecf4d740422b9b845c9f4ca84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61901f53111e9a8b0571797d22b6f99f06df65a2e53331d4fa4f725b700ff4bc",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-05T18:36:35Z",
    "title_canon_sha256": "9023d47faa90fddcaf89f8bbcd2241b09521eeec648e49118633e501e7b83ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1061",
    "kind": "arxiv",
    "version": 2
  }
}