Pith Number

pith:KZVVPI46

pith:2015:KZVVPI467DOAPWLZ7ZVQWGXZCF

not attested not anchored not stored refs pending

Simultaneous controllability of wave sound propagations

Alexis Rodriguez Carranza, Luis J. Caucha, Obidio Rubio Mercedes

arxiv:1512.03923 v1 · 2015-12-12 · 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{KZVVPI467DOAPWLZ7ZVQWGXZCF}

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	2026-05-18T01:24:23.598908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566b57a39ef8dc07d979fe6b0b1af9114b61ab50a92dd3593b03403cea50fcb0

Aliases

arxiv: 1512.03923 · arxiv_version: 1512.03923v1 · doi: 10.48550/arxiv.1512.03923 · pith_short_12: KZVVPI467DOA · pith_short_16: KZVVPI467DOAPWLZ · pith_short_8: KZVVPI46

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/KZVVPI467DOAPWLZ7ZVQWGXZCF \
  | 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: 566b57a39ef8dc07d979fe6b0b1af9114b61ab50a92dd3593b03403cea50fcb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df23164e3bba73791af40a5bb5cc7f3732ad31c4ac825dcec473792a3f9d594c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-12T15:45:12Z",
    "title_canon_sha256": "49257e17e7452f47aa7d15fde4d352cb0beac84fc7695f624f6c825face3972a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03923",
    "kind": "arxiv",
    "version": 1
  }
}