Pith Number

pith:EEY54I7K

pith:2013:EEY54I7KT67FEAOA2WWWP2D2BM

not attested not anchored not stored refs pending

Semiclassical hypoelliptic estimates with a big loss of derivatives

Alberto Parmeggiani, Karel Pravda-Starov

arxiv:1305.0731 v1 · 2013-05-03 · 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{EEY54I7KT67FEAOA2WWWP2D2BM}

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	2026-05-18T03:26:32.984386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2131de23ea9fbe5201c0d5ad67e87a0b3550449b693cd94fdc979aa0733bb14b

Aliases

arxiv: 1305.0731 · arxiv_version: 1305.0731v1 · doi: 10.48550/arxiv.1305.0731 · pith_short_12: EEY54I7KT67F · pith_short_16: EEY54I7KT67FEAOA · pith_short_8: EEY54I7K

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/EEY54I7KT67FEAOA2WWWP2D2BM \
  | 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: 2131de23ea9fbe5201c0d5ad67e87a0b3550449b693cd94fdc979aa0733bb14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c8e2c06d7ee628509cbfe610fa1518702e18fae5753162550a51fa8daf6ddc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-03T14:47:48Z",
    "title_canon_sha256": "137ed86fe68675c2e8694bd084f6f87d4a099b1bb360c910fc36a8d8fcfb2e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0731",
    "kind": "arxiv",
    "version": 1
  }
}