Pith Number

pith:4AHGPZWC

pith:2016:4AHGPZWCHNUNH5AALYIGYCXKLF

not attested not anchored not stored refs pending

The $L^p$ Carleman estimate and a partial data inverse problem

Francis J. Chung, Leo Tzou

arxiv:1610.01715 v1 · 2016-10-06 · 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{4AHGPZWCHNUNH5AALYIGYCXKLF}

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	2026-05-18T01:03:05.103901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00e67e6c23b68d3f4005e106c0aea59518404f1b419ed1ed8d91e8f81e4a407

Aliases

arxiv: 1610.01715 · arxiv_version: 1610.01715v1 · doi: 10.48550/arxiv.1610.01715 · pith_short_12: 4AHGPZWCHNUN · pith_short_16: 4AHGPZWCHNUNH5AA · pith_short_8: 4AHGPZWC

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/4AHGPZWCHNUNH5AALYIGYCXKLF \
  | 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: e00e67e6c23b68d3f4005e106c0aea59518404f1b419ed1ed8d91e8f81e4a407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8d49ebeafd899b78978692a2c478e9e62a24bc2b9a69ba06fa826818d6b82f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-06T02:02:52Z",
    "title_canon_sha256": "c00973da576e7fc8ab610ad787f5821b4ad41a51ffc5ac1747330b9937c8b932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01715",
    "kind": "arxiv",
    "version": 1
  }
}