Pith Number

pith:ZHSNSIBU

pith:2021:ZHSNSIBUMJESNWPIWU2YDNAURI

not attested not anchored not stored refs pending

Stability estimates in inverse problems for the Schr\"odinger and wave equations with trapping

Colin Guillarmou, Victor Arnaiz

arxiv:2106.11167 v2 · 2021-06-21 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHSNSIBUMJESNWPIWU2YDNAURI}

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	2026-07-05T04:40:45.542122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e4d92034624926d9e8b53581b4148a1059d93a20715fea28b7f419acb1fc71

Aliases

arxiv: 2106.11167 · arxiv_version: 2106.11167v2 · doi: 10.48550/arxiv.2106.11167 · pith_short_12: ZHSNSIBUMJES · pith_short_16: ZHSNSIBUMJESNWPI · pith_short_8: ZHSNSIBU

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/ZHSNSIBUMJESNWPIWU2YDNAURI \
  | 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: c9e4d92034624926d9e8b53581b4148a1059d93a20715fea28b7f419acb1fc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80bf2d26d2cd88e13f101900ca54bd1671905ff00cba9e52e692bac1379a9d7",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-21T15:03:21Z",
    "title_canon_sha256": "2a567c30818ee0355d4de086ec6cd84e00bd46698630abbee0c8b2bd3d498f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11167",
    "kind": "arxiv",
    "version": 2
  }
}