Pith Number

pith:V2MM5WYF

pith:2014:V2MM5WYFJLLMSH735VM6D7UKI2

not attested not anchored not stored refs pending

Lower bounds for pseudodifferential operators with a radial symbol

Jean Nourrigat, Laurent Amour, Lisette Jager

arxiv:1403.7368 v1 · 2014-03-28 · 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{V2MM5WYFJLLMSH735VM6D7UKI2}

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	2026-05-18T02:55:19.822580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae98cedb054ad6c91ffbed59e1fe8a4696117a5100fe18801050dd0b288b1b18

Aliases

arxiv: 1403.7368 · arxiv_version: 1403.7368v1 · doi: 10.48550/arxiv.1403.7368 · pith_short_12: V2MM5WYFJLLM · pith_short_16: V2MM5WYFJLLMSH73 · pith_short_8: V2MM5WYF

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/V2MM5WYFJLLMSH735VM6D7UKI2 \
  | 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: ae98cedb054ad6c91ffbed59e1fe8a4696117a5100fe18801050dd0b288b1b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431bd934472891312c8aff8b977a2850748c0e975a371f99a2af92422077ec04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-28T13:13:27Z",
    "title_canon_sha256": "6cb8019a640d0e7791b91c645b606cb3c6821872c16ac5e0fbb2dc07980f955a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7368",
    "kind": "arxiv",
    "version": 1
  }
}