Pith Number

pith:NTV32ICB

pith:2011:NTV32ICBEO5M4TDKQLMKYCVKXL

not attested not anchored not stored refs pending

Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle

Yavar Kian

arxiv:1102.4280 v3 · 2011-02-21 · 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{NTV32ICBEO5M4TDKQLMKYCVKXL}

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	2026-05-18T04:03:07.102786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cebbd204123bace4c6a82d8ac0aaabaff29b64334e63a820f1bf2b535260d50

Aliases

arxiv: 1102.4280 · arxiv_version: 1102.4280v3 · doi: 10.48550/arxiv.1102.4280 · pith_short_12: NTV32ICBEO5M · pith_short_16: NTV32ICBEO5M4TDK · pith_short_8: NTV32ICB

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/NTV32ICBEO5M4TDKQLMKYCVKXL \
  | 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: 6cebbd204123bace4c6a82d8ac0aaabaff29b64334e63a820f1bf2b535260d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0652b48c7e88042f2feca2206ceec7d1402e635cf2091d502c8cf5abe5511d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-21T17:00:08Z",
    "title_canon_sha256": "8817de1ff3787700a5be02493dcbd30072880bfaaa0527ec4ff26a2101112a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4280",
    "kind": "arxiv",
    "version": 3
  }
}