Pith Number

pith:ARA6GFID

pith:2017:ARA6GFIDEHDMJA3RB472QJEFTQ

not attested not anchored not stored refs pending

Inherent Negative Refraction on Acoustic Branch of Two Dimensional Phononic Crystals

Sia Nemat-Nasser

arxiv:1709.07768 v1 · 2017-09-12 · physics.class-ph · 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{ARA6GFIDEHDMJA3RB472QJEFTQ}

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	2026-05-18T00:34:32.385069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0441e3150321c6c483710f3fa824859c113d6342f62d327a056bb2405f14f16a

Aliases

arxiv: 1709.07768 · arxiv_version: 1709.07768v1 · doi: 10.48550/arxiv.1709.07768 · pith_short_12: ARA6GFIDEHDM · pith_short_16: ARA6GFIDEHDMJA3R · pith_short_8: ARA6GFID

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/ARA6GFIDEHDMJA3RB472QJEFTQ \
  | 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: 0441e3150321c6c483710f3fa824859c113d6342f62d327a056bb2405f14f16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbdb89a30160a34d66c889286daebb305f6caf878e7dadf9d110ea960ee4f077",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2017-09-12T21:16:54Z",
    "title_canon_sha256": "865c2c8bb666cb13439faef3f55fe580a4a267b61ee62b6a46e0047a617ab7b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07768",
    "kind": "arxiv",
    "version": 1
  }
}