Pith Number

pith:ROGNYDGW

pith:2010:ROGNYDGWRZLZUDK2M54J5TSGWV

not attested not anchored not stored refs pending

Semiclassical L^p Estimates of Quasimodes on Curved Hypersurfaces

Andrew Hassell, Melissa Tacy

arxiv:1002.1119 v2 · 2010-02-05 · 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{ROGNYDGWRZLZUDK2M54J5TSGWV}

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	2026-05-18T01:22:49.342857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b8cdc0cd68e579a0d5a67789ece46b5557ef450428c9a36f868c9a6a43d9ed5

Aliases

arxiv: 1002.1119 · arxiv_version: 1002.1119v2 · doi: 10.48550/arxiv.1002.1119 · pith_short_12: ROGNYDGWRZLZ · pith_short_16: ROGNYDGWRZLZUDK2 · pith_short_8: ROGNYDGW

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/ROGNYDGWRZLZUDK2M54J5TSGWV \
  | 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: 8b8cdc0cd68e579a0d5a67789ece46b5557ef450428c9a36f868c9a6a43d9ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece42a38ec690a3321481427ac536ee20eae24c114402387ea2e6326d5587cff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-05T05:29:13Z",
    "title_canon_sha256": "854328a9f861e0f27b5bcea38ded27328aa382457cf98a16af65523a565d6447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1119",
    "kind": "arxiv",
    "version": 2
  }
}