Pith Number

pith:JIOL4U6G

pith:2016:JIOL4U6GAI4N32Y6JTKMSYOTRH

not attested not anchored not stored refs pending

A high transmission broadband gradient index lens using elastic shell acoustic metamaterial elements

Alexey S. Titovich, Andrew N. Norris, Michael R. Haberman

arxiv:1604.01784 v1 · 2016-04-01 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIOL4U6GAI4N32Y6JTKMSYOTRH}

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	2026-05-18T01:08:17.739111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1cbe53c60238ddeb1e4cd4c961d389d7884c61effc06a48a98deba668714c5

Aliases

arxiv: 1604.01784 · arxiv_version: 1604.01784v1 · doi: 10.48550/arxiv.1604.01784 · pith_short_12: JIOL4U6GAI4N · pith_short_16: JIOL4U6GAI4N32Y6 · pith_short_8: JIOL4U6G

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/JIOL4U6GAI4N32Y6JTKMSYOTRH \
  | 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: 4a1cbe53c60238ddeb1e4cd4c961d389d7884c61effc06a48a98deba668714c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d740462fe5dc026c589a75f79bd9ce7d415a23913dc45d97ebf283e19e3e7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-04-01T23:26:32Z",
    "title_canon_sha256": "b471c49842163e9c621917455b31409c64a209c73e517a19d062138080b05162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01784",
    "kind": "arxiv",
    "version": 1
  }
}