Pith Number

pith:WHVKNSSW

pith:2018:WHVKNSSWGOHMLBJ44WKUWQONM5

not attested not anchored not stored refs pending

Gradient index phononic crystals and metamaterials

Bahram Djafari-Rouhani, Daniel Torrent, Yabin Jin

arxiv:1812.09655 v1 · 2018-12-23 · physics.app-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{WHVKNSSWGOHMLBJ44WKUWQONM5}

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	2026-05-17T23:52:15.059471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1eaa6ca56338ec5853ce5954b41cd676b1f100bdd285bd5c80972e36669c0b2

Aliases

arxiv: 1812.09655 · arxiv_version: 1812.09655v1 · doi: 10.48550/arxiv.1812.09655 · pith_short_12: WHVKNSSWGOHM · pith_short_16: WHVKNSSWGOHMLBJ4 · pith_short_8: WHVKNSSW

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/WHVKNSSWGOHMLBJ44WKUWQONM5 \
  | 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: b1eaa6ca56338ec5853ce5954b41cd676b1f100bdd285bd5c80972e36669c0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa8cb63ae3ef169f8251b0e219ce8b57bca21f796455a9fc61273f0fab8e99e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2018-12-23T04:17:01Z",
    "title_canon_sha256": "340800399eee6737a8da63e322299337cb3cb0b6dc8e418f4fba30a23bb64f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09655",
    "kind": "arxiv",
    "version": 1
  }
}